Prime Number Checker Calculator

Any whole number from 1 to 9,007,199,254,740,991.
Is prime
Yes
Prime Factorization Calculator
Prime factorization
97
Written out in full
97
Number of distinct primes
1
Prime factors counted with multiplicity
1
Smallest prime factor
97
Largest prime factor
97
Number of divisors
2
Sum of divisors
98
Sum of proper divisors
1
Euler's totient
96
Radical (product of distinct primes)
97
Perfect, abundant or deficient
Deficient
Square-free
Yes
Worked out from NIST Digital Library of Mathematical Functions, ยง27.2-27.3 (fundamental theorem of arithmetic; divisor and totient functions) and 2 other sources.

How this is worked out

3 steps
  1. 97 is prime, so its factorization is just 97 itself.
  2. Number of divisors = product of (exponent + 1) = (1+1) = 2.
  3. Sum of divisors = product of (p^(e+1)-1)/(p-1) = 98; subtracting 97 leaves 1 for the proper divisors.
Distinct prime factorstable
97
Exponent of each primetable
1

Results are general information, not financial, tax, legal, medical or engineering advice.