313580 has 12 divisors (see below), whose sum is σ = 658560. Its totient is φ = 125424.

The previous prime is 313571. The next prime is 313583. The reversal of 313580 is 85313.

313580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15679 = 313580 / (3 + 1 + 3 + 5 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (313583) 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, 7820 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (54880).

2³¹³⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

313580 is an abundant number, since it is smaller than the sum of its proper divisors (344980).

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

313580 is a wasteful number, since it uses less digits than its factorization.

313580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 313580 is about 559.9821425724. The cubic root of 313580 is about 67.9385257569.

Adding to 313580 its sum of digits (20), we get a square (313600 = 560²).

Adding to 313580 its reverse (85313), we get a palindrome (398893).

The spelling of 313580 in words is "three hundred thirteen thousand, five hundred eighty".