313972065 has 64 divisors (see below), whose sum is σ = 644785920. Its totient is φ = 143262720.

The previous prime is 313972049. The next prime is 313972073. The reversal of 313972065 is 560279313.

313972065 = 90² + 91² + ... + 980².

It is not a de Polignac number, because 313972065 - 2⁴ = 313972049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19027 + ... + 31463.

It is an arithmetic number, because the mean of its divisors is an integer number (10074780).

Almost surely, 2^313972065 is an apocalyptic number.

It is an amenable number.

313972065 is an abundant number, since it is smaller than the sum of its proper divisors (330813855).

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

313972065 is a wasteful number, since it uses less digits than its factorization.

313972065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12479 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 313972065 is about 17719.2568975112. The cubic root of 313972065 is about 679.6682818347.

The spelling of 313972065 in words is "three hundred thirteen million, nine hundred seventy-two thousand, sixty-five".