313520 has 20 divisors (see below), whose sum is σ = 729120. Its totient is φ = 125376.

The previous prime is 313517. The next prime is 313543. The reversal of 313520 is 25313.

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

It is a junction number, because it is equal to n+sod(n) for n = 313495 and 313504.

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 in 3 ways as a sum of consecutive naturals, for example, 1880 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2³¹³⁵²⁰ is an apocalyptic number.

It is an amenable number.

313520 is an abundant number, since it is smaller than the sum of its proper divisors (415600).

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

313520 is a wasteful number, since it uses less digits than its factorization.

313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 313520 is about 559.9285668726. The cubic root of 313520 is about 67.9341923900.

Adding to 313520 its reverse (25313), we get a palindrome (338833).

The spelling of 313520 in words is "three hundred thirteen thousand, five hundred twenty".