313912920 has 64 divisors (see below), whose sum is σ = 943734240. Its totient is φ = 83532800.

The previous prime is 313912909. The next prime is 313912931. The reversal of 313912920 is 29219313.

It is a happy number.

313912920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313912909) and next prime (313912931).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60010 + ... + 65030.

Almost surely, 2^313912920 is an apocalyptic number.

313912920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313912920 is an abundant number, since it is smaller than the sum of its proper divisors (629821320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313912920 is a wasteful number, since it uses less digits than its factorization.

313912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 313912920 is about 17717.5878719424. The cubic root of 313912920 is about 679.6256012808.

The spelling of 313912920 in words is "three hundred thirteen million, nine hundred twelve thousand, nine hundred twenty".