972912 has 20 divisors (see below), whose sum is σ = 2513480. Its totient is φ = 324288.

The previous prime is 972901. The next prime is 972941. The reversal of 972912 is 219279.

972912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 972912.

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 972912.

It is an unprimeable number.

972912 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 in 3 ways as a sum of consecutive naturals, for example, 10087 + ... + 10182.

It is an arithmetic number, because the mean of its divisors is an integer number (125674).

2⁹⁷²⁹¹² is an apocalyptic number.

It is an amenable number.

972912 is an abundant number, since it is smaller than the sum of its proper divisors (1540568).

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

972912 is a wasteful number, since it uses less digits than its factorization.

972912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20280 (or 20274 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 972912 is about 986.3630163383. The cubic root of 972912 is about 99.0887888281.

The spelling of 972912 in words is "nine hundred seventy-two thousand, nine hundred twelve".