972582 has 32 divisors (see below), whose sum is σ = 2157792. Its totient is φ = 290304.

The previous prime is 972581. The next prime is 972599. The reversal of 972582 is 285279.

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 972582.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718 + ... + 3054.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

2⁹⁷²⁵⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078896).

972582 is an abundant number, since it is smaller than the sum of its proper divisors (1185210).

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

972582 is a wasteful number, since it uses less digits than its factorization.

972582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its digits is 10080, while the sum is 33.

The square root of 972582 is about 986.1957209398. The cubic root of 972582 is about 99.0775843211.

The spelling of 972582 in words is "nine hundred seventy-two thousand, five hundred eighty-two".