313904 has 20 divisors (see below), whose sum is σ = 635376. Its totient is φ = 149952.

The previous prime is 313897. The next prime is 313909. The reversal of 313904 is 409313.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313904.

It is not an unprimeable number, because it can be changed into a prime (313909) by changing a digit.

313904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59 + ... + 794.

2³¹³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

313904 is an abundant number, since it is smaller than the sum of its proper divisors (321472).

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

313904 is a wasteful number, since it uses less digits than its factorization.

313904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 313904 is about 560.2713628234. The cubic root of 313904 is about 67.9619163914.

The spelling of 313904 in words is "three hundred thirteen thousand, nine hundred four".