82988136 has 96 divisors (see below), whose sum is σ = 280238400. Its totient is φ = 21553920.

The previous prime is 82988123. The next prime is 82988167. The reversal of 82988136 is 63188928.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82988091 and 82988100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1941 + ... + 13028.

It is an arithmetic number, because the mean of its divisors is an integer number (2919150).

Almost surely, 2^82988136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82988136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140119200).

82988136 is an abundant number, since it is smaller than the sum of its proper divisors (197250264).

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

82988136 is a wasteful number, since it uses less digits than its factorization.

82988136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999 (or 14992 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 82988136 is about 9109.7824342846. The cubic root of 82988136 is about 436.1862823774.

The spelling of 82988136 in words is "eighty-two million, nine hundred eighty-eight thousand, one hundred thirty-six".