97213 (number)
97,213 (ninetyseven thousand two hundred thirteen) is an odd fivedigits prime number following 97212 and preceding 97214. In scientific notation, it is written as 9.7213 × 10^{4}. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 97,212 positive integers (up to 97213) that are relatively prime to 97213.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 22
 Digital Root 4
Name
Short name  97 thousand 213 

Full name  ninetyseven thousand two hundred thirteen 
Notation
Scientific notation  9.7213 × 10^{4} 

Engineering notation  97.213 × 10^{3} 
Prime Factorization of 97213
Prime Factorization 97213
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  97213  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  11.484659726361  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 97,213 is 97213. Since it has a total of 1 prime factor, 97,213 is a prime number.
Divisors of 97213
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  97214  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  48607  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  311.78999342506  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999794268315  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 97,213 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 97,213) is 97,214, the average is 48,607.
Other Arithmetic Functions (n = 97213)
φ(n)  Euler Totient  97212  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  97212  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 9340  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 97,212 positive integers (less than 97,213) that are coprime with 97,213. And there are approximately 9,340 prime numbers less than or equal to 97,213.
Divisibility of 97213
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  3  1  4  5  4 
97,213 is not divisible by any number less than or equal to 9.
Classification of 97213
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (97213)
Base  System  Value 

2  Binary  10111101110111101 
3  Ternary  11221100111 
4  Quaternary  113232331 
5  Quinary  11102323 
6  Senary  2030021 
8  Octal  275675 
10  Decimal  97213 
12  Duodecimal  48311 
16  Hexadecimal  17bbd 
20  Vigesimal  c30d 
36  Base36  230d 
Basic calculations (n = 97213)
Multiplication
n×yn×2  194426 

n×3  291639 
n×4  388852 
n×5  486065 
Division
n÷yn÷2  48606.500 

n÷3  32404.333 
n÷4  24303.250 
n÷5  19442.600 
Exponentiation
n^{y}n^{2}  9450367369 

n^{3}  918698563042597 
n^{4}  89309443409059982161 
n^{5}  8682038922124948045817293 
Nth Root
^{y}√n^{2}√n  311.78999342506 

^{3}√n  45.98061565113 
^{4}√n  17.657576091442 
^{5}√n  9.9436280124971 
97213 as geometric shapes
Circle
Radius = nDiameter  194426 

Circumference  610807.29326685 
Area  29689204700.175 
Sphere
Radius = nVolume  3.8482355420242E+15 

Surface area  118756818800.7 
Circumference  610807.29326685 
Square
Length = nPerimeter  388852 

Area  9450367369 
Diagonal  137479.94303898 
Cube
Length = nSurface area  56702204214 

Volume  918698563042597 
Space diagonal  168377.85515619 
Equilateral Triangle
Length = nPerimeter  291639 

Area  4092129108.3248 
Altitude  84188.927578097 
Triangular Pyramid
Length = nSurface area  16368516433.299 

Volume  1.0826966396563E+14 
Height  79374.082121727 
Cryptographic Hash Functions
md5  b4c4505591fa58cea4106969ce7c1308 

sha1  782417d38d1630510b12a4f3136e3ef48db37285 
sha256  0bbc4fc1a541bd95414593a0e11bdcb054296a0eb00b92157b8e6caae240ae26 
sha512  21219a30120c6021dd4e3adbbbc9a48658c1321a56056dc8fded30d6c09ff971809d1861e106122856f1df004d04ac94c7784054f907ccc74ab3ac4c3833c5be 
ripemd160  9a719a37d7fa37450ebe45aa78efc2306634cb2e 