972896 has 12 divisors (see below), whose sum is σ = 1915452. Its totient is φ = 486432.

The previous prime is 972887. The next prime is 972899. The reversal of 972896 is 698279.

It is a nialpdrome in base 16.

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 972896.

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

972896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15170 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (159621).

2⁹⁷²⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

972896 is a deficient number, since it is larger than the sum of its proper divisors (942556).

972896 is a wasteful number, since it uses less digits than its factorization.

972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30413 (or 30405 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 972896 is about 986.3549057008. The cubic root of 972896 is about 99.0882456378.

The spelling of 972896 in words is "nine hundred seventy-two thousand, eight hundred ninety-six".