313360 has 20 divisors (see below), whose sum is σ = 728748. Its totient is φ = 125312.

The previous prime is 313351. The next prime is 313373. The reversal of 313360 is 63313.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 126736 = 432^2 + 356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is an unprimeable number.

313360 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1879 + ... + 2038.

2³¹³³⁶⁰ is an apocalyptic number.

It is an amenable number.

313360 is an abundant number, since it is smaller than the sum of its proper divisors (415388).

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

313360 is a wasteful number, since it uses less digits than its factorization.

313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 313360 is about 559.7856732715. The cubic root of 313360 is about 67.9226340414.

Adding to 313360 its reverse (63313), we get a palindrome (376673).

Subtracting from 313360 its reverse (63313), we obtain a cube (250047 = 63³).

The spelling of 313360 in words is "three hundred thirteen thousand, three hundred sixty".