810972 has 30 divisors (see below), whose sum is σ = 2120888. Its totient is φ = 270216.

The previous prime is 810967. The next prime is 810973. The reversal of 810972 is 279018.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 810972.

It is not an unprimeable number, because it can be changed into a prime (810973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 928 + ... + 1575.

2⁸¹⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

810972 is an abundant number, since it is smaller than the sum of its proper divisors (1309916).

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

810972 is a wasteful number, since it uses less digits than its factorization.

810972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 810972 is about 900.5398380971. The cubic root of 810972 is about 93.2542470639.

The spelling of 810972 in words is "eight hundred ten thousand, nine hundred seventy-two".