313952 has 12 divisors (see below), whose sum is σ = 618156. Its totient is φ = 156960.

The previous prime is 313949. The next prime is 313961. The reversal of 313952 is 259313.

It is a happy number.

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 313952.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 4874 + ... + 4937.

It is an arithmetic number, because the mean of its divisors is an integer number (51513).

2³¹³⁹⁵² is an apocalyptic number.

313952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313952 is a deficient number, since it is larger than the sum of its proper divisors (304204).

313952 is an equidigital number, since it uses as much as digits as its factorization.

313952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9813 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 313952 is about 560.3141975713. The cubic root of 313952 is about 67.9653803015.

The spelling of 313952 in words is "three hundred thirteen thousand, nine hundred fifty-two".