8582972 has 24 divisors (see below), whose sum is σ = 15523200. Its totient is φ = 4149936.

The previous prime is 8582971. The next prime is 8583013. The reversal of 8582972 is 2792858.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8582971) 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 7 ways as a sum of consecutive naturals, for example, 23729 + ... + 24087.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 2^8582972 is an apocalyptic number.

It is an amenable number.

8582972 is a deficient number, since it is larger than the sum of its proper divisors (6940228).

8582972 is a wasteful number, since it uses less digits than its factorization.

8582972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 8582972 is about 2929.6709712867. The cubic root of 8582972 is about 204.7446513333.

The spelling of 8582972 in words is "eight million, five hundred eighty-two thousand, nine hundred seventy-two".