972800931 has 16 divisors (see below), whose sum is σ = 1371315200. Its totient is φ = 611709408.

The previous prime is 972800923. The next prime is 972800947. The reversal of 972800931 is 139008279.

It is not a de Polignac number, because 972800931 - 2³ = 972800923 is a prime.

It is a super-2 number, since 2×972800931² = 1892683302708933522, which contains 22 as substring.

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 972800931.

It is not an unprimeable number, because it can be changed into a prime (972800921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24211 + ... + 50316.

It is an arithmetic number, because the mean of its divisors is an integer number (85707200).

Almost surely, 2^972800931 is an apocalyptic number.

972800931 is a deficient number, since it is larger than the sum of its proper divisors (398514269).

972800931 is a wasteful number, since it uses less digits than its factorization.

972800931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74778.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 972800931 is about 31189.7568281640. The cubic root of 972800931 is about 990.8501797955.

The spelling of 972800931 in words is "nine hundred seventy-two million, eight hundred thousand, nine hundred thirty-one".