313264 has 20 divisors (see below), whose sum is σ = 693904. Its totient is φ = 134208.

The previous prime is 313249. The next prime is 313267. The reversal of 313264 is 462313.

313264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (313267) 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, 1287 + ... + 1510.

2³¹³²⁶⁴ is an apocalyptic number.

It is an amenable number.

313264 is an abundant number, since it is smaller than the sum of its proper divisors (380640).

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

313264 is a wasteful number, since it uses less digits than its factorization.

313264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 313264 is about 559.6999195998. The cubic root of 313264 is about 67.9156971437.

Adding to 313264 its reverse (462313), we get a palindrome (775577).

The spelling of 313264 in words is "three hundred thirteen thousand, two hundred sixty-four".