313980 has 24 divisors (see below), whose sum is σ = 879312. Its totient is φ = 83712.

The previous prime is 313979. The next prime is 313981. The reversal of 313980 is 89313.

It is an interprime number because it is at equal distance from previous prime (313979) and next prime (313981).

It is a self number, because there is not a number n which added to its sum of digits gives 313980.

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 313980.

It is not an unprimeable number, because it can be changed into a prime (313981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 2676.

It is an arithmetic number, because the mean of its divisors is an integer number (36638).

2³¹³⁹⁸⁰ is an apocalyptic number.

313980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313980 is an abundant number, since it is smaller than the sum of its proper divisors (565332).

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

313980 is a wasteful number, since it uses less digits than its factorization.

313980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 313980 is about 560.3391829954. The cubic root of 313980 is about 67.9674007527.

The spelling of 313980 in words is "three hundred thirteen thousand, nine hundred eighty".