972588 has 12 divisors (see below), whose sum is σ = 2269400. Its totient is φ = 324192.

The previous prime is 972581. The next prime is 972599. The reversal of 972588 is 885279.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972588.

It is not an unprimeable number, because it can be changed into a prime (972581) by changing a digit.

972588 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, 40513 + ... + 40536.

2⁹⁷²⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

972588 is an abundant number, since it is smaller than the sum of its proper divisors (1296812).

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

972588 is a wasteful number, since it uses less digits than its factorization.

972588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81056 (or 81054 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 972588 is about 986.1987629276. The cubic root of 972588 is about 99.0777880620.

It can be divided in two parts, 972 and 588, that multiplied together give a square (571536 = 756²).

The spelling of 972588 in words is "nine hundred seventy-two thousand, five hundred eighty-eight".