82539972 has 30 divisors (see below), whose sum is σ = 215776638. Its totient is φ = 27513216.

The previous prime is 82539959. The next prime is 82539973. The reversal of 82539972 is 27993528.

It can be written as a sum of positive squares in only one way, i.e., 80030916 + 2509056 = 8946^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (82539973) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 127053 + ... + 127700.

Almost surely, 2^82539972 is an apocalyptic number.

It is an amenable number.

82539972 is an abundant number, since it is smaller than the sum of its proper divisors (133236666).

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

82539972 is a wasteful number, since it uses less digits than its factorization.

82539972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254769 (or 254758 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 82539972 is about 9085.1511820112. The cubic root of 82539972 is about 435.3996802217.

It can be divided in two parts, 8253 and 9972, that added together give a square (18225 = 135²).

The spelling of 82539972 in words is "eighty-two million, five hundred thirty-nine thousand, nine hundred seventy-two".