972864313 has 8 divisors (see below), whose sum is σ = 983702048. Its totient is φ = 962043264.

The previous prime is 972864307. The next prime is 972864377. The reversal of 972864313 is 313468279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972864313 - 2²⁵ = 939309881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 972864313.

It is not an unprimeable number, because it can be changed into a prime (972864383) 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, 140470 + ... + 147232.

It is an arithmetic number, because the mean of its divisors is an integer number (122962756).

Almost surely, 2^972864313 is an apocalyptic number.

It is an amenable number.

972864313 is a deficient number, since it is larger than the sum of its proper divisors (10837735).

972864313 is a wasteful number, since it uses less digits than its factorization.

972864313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343.

The product of its digits is 217728, while the sum is 43.

The square root of 972864313 is about 31190.7728823766. The cubic root of 972864313 is about 990.8716986558.

The spelling of 972864313 in words is "nine hundred seventy-two million, eight hundred sixty-four thousand, three hundred thirteen".