313504 has 24 divisors (see below), whose sum is σ = 629748. Its totient is φ = 153600.

The previous prime is 313477. The next prime is 313507. The reversal of 313504 is 405313.

313504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 21904 = 540^2 + 148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

313504 is a Rhonda number in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313504.

It is not an unprimeable number, because it can be changed into a prime (313507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3054 + ... + 3154.

2³¹³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

313504 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

313504 is a wasteful number, since it uses less digits than its factorization.

313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 313504 is about 559.9142791535. The cubic root of 313504 is about 67.9330367321.

Adding to 313504 its reverse (405313), we get a palindrome (718817).

Subtracting 313504 from its reverse (405313), we obtain a square (91809 = 303²).

The spelling of 313504 in words is "three hundred thirteen thousand, five hundred four".