972584 has 16 divisors (see below), whose sum is σ = 1854420. Its totient is φ = 478080.

The previous prime is 972581. The next prime is 972599. The reversal of 972584 is 485279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 940900 + 31684 = 970^2 + 178^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972584.

It is not an unprimeable number, because it can be changed into a prime (972581) 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, 509 + ... + 1484.

2⁹⁷²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

972584 is a deficient number, since it is larger than the sum of its proper divisors (881836).

972584 is a wasteful number, since it uses less digits than its factorization.

972584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2056 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 972584 is about 986.1967349368. The cubic root of 972584 is about 99.0776522348.

The spelling of 972584 in words is "nine hundred seventy-two thousand, five hundred eighty-four".