7972531 has 16 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 6621120.

The previous prime is 7972511. The next prime is 7972553. The reversal of 7972531 is 1352797.

It is a cyclic number.

It is not a de Polignac number, because 7972531 - 2⁵ = 7972499 is a prime.

It is a super-2 number, since 2×7972531² = 127122501091922, which contains 22 as substring.

It is a Duffinian number.

7972531 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7972511) 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, 41646 + ... + 41836.

It is an arithmetic number, because the mean of its divisors is an integer number (587520).

Almost surely, 2^7972531 is an apocalyptic number.

7972531 is a deficient number, since it is larger than the sum of its proper divisors (1427789).

7972531 is a wasteful number, since it uses less digits than its factorization.

7972531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its digits is 13230, while the sum is 34.

The square root of 7972531 is about 2823.5670702146. The cubic root of 7972531 is about 199.7708291706.

The spelling of 7972531 in words is "seven million, nine hundred seventy-two thousand, five hundred thirty-one".