972892 has 12 divisors (see below), whose sum is σ = 1761480. Its totient is φ = 469616.

The previous prime is 972887. The next prime is 972899. The reversal of 972892 is 298279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972899) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4078 + ... + 4309.

It is an arithmetic number, because the mean of its divisors is an integer number (146790).

2⁹⁷²⁸⁹² is an apocalyptic number.

It is an amenable number.

972892 is a deficient number, since it is larger than the sum of its proper divisors (788588).

972892 is a wasteful number, since it uses less digits than its factorization.

972892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8418 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 972892 is about 986.3528780310. The cubic root of 972892 is about 99.0881098392.

The spelling of 972892 in words is "nine hundred seventy-two thousand, eight hundred ninety-two".