82792152 has 32 divisors (see below), whose sum is σ = 229978800. Its totient is φ = 27597312.

The previous prime is 82792141. The next prime is 82792169. The reversal of 82792152 is 25129728.

It is a super-2 number, since 2×82792152² = 13709080865582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191433 + ... + 191864.

Almost surely, 2^82792152 is an apocalyptic number.

It is an amenable number.

82792152 is an abundant number, since it is smaller than the sum of its proper divisors (147186648).

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

82792152 is a wasteful number, since it uses less digits than its factorization.

82792152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383312 (or 383302 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82792152 is about 9099.0192878134. The cubic root of 82792152 is about 435.8426472554.

It can be divided in two parts, 82792 and 152, that added together give a square (82944 = 288²).

The spelling of 82792152 in words is "eighty-two million, seven hundred ninety-two thousand, one hundred fifty-two".