972920 has 32 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 359040.

The previous prime is 972901. The next prime is 972941. The reversal of 972920 is 29279.

It is a happy number.

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 972920.

It is an unprimeable number.

972920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁹⁷²⁹²⁰ is an apocalyptic number.

It is an amenable number.

972920 is an abundant number, since it is smaller than the sum of its proper divisors (1385800).

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

972920 is a wasteful number, since it uses less digits than its factorization.

972920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 972920 is about 986.3670716321. The cubic root of 972920 is about 99.0890604211.

The spelling of 972920 in words is "nine hundred seventy-two thousand, nine hundred twenty".