82792132 has 12 divisors (see below), whose sum is σ = 144963756. Its totient is φ = 41373920.

The previous prime is 82792117. The next prime is 82792141. The reversal of 82792132 is 23129728.

It can be written as a sum of positive squares in 2 ways, for example, as 1359556 + 81432576 = 1166^2 + 9024^2 .

It is a super-2 number, since 2×82792132² = 13709074242210848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5178 + ... + 13870.

It is an arithmetic number, because the mean of its divisors is an integer number (12080313).

Almost surely, 2^82792132 is an apocalyptic number.

It is an amenable number.

82792132 is a deficient number, since it is larger than the sum of its proper divisors (62171624).

82792132 is a wasteful number, since it uses less digits than its factorization.

82792132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11076 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 82792132 is about 9099.0181887938. The cubic root of 82792132 is about 435.8426121600.

The spelling of 82792132 in words is "eighty-two million, seven hundred ninety-two thousand, one hundred thirty-two".