972816 has 40 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 299136.

The previous prime is 972799. The next prime is 972823. The reversal of 972816 is 618279.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2⁹⁷²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

972816 is an abundant number, since it is smaller than the sum of its proper divisors (1735344).

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

972816 is a wasteful number, since it uses less digits than its factorization.

972816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 972816 is about 986.3143515127. The cubic root of 972816 is about 99.0855295965.

The spelling of 972816 in words is "nine hundred seventy-two thousand, eight hundred sixteen".