313638325 has 96 divisors (see below), whose sum is σ = 531965952. Its totient is φ = 177120000.

The previous prime is 313638289. The next prime is 313638329. The reversal of 313638325 is 523836313.

It is not a de Polignac number, because 313638325 - 2¹¹ = 313636277 is a prime.

Its product of digits (38880) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313638329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2077000 + ... + 2077150.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^313638325 is an apocalyptic number.

313638325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313638325 is a deficient number, since it is larger than the sum of its proper divisors (218327627).

313638325 is a wasteful number, since it uses less digits than its factorization.

313638325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 313638325 is about 17709.8369557712. The cubic root of 313638325 is about 679.4273762081.

The spelling of 313638325 in words is "three hundred thirteen million, six hundred thirty-eight thousand, three hundred twenty-five".