82538136 has 64 divisors (see below), whose sum is σ = 230486400. Its totient is φ = 27367200.

The previous prime is 82538129. The next prime is 82538161. The reversal of 82538136 is 63183528.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82538136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44671 + ... + 46481.

It is an arithmetic number, because the mean of its divisors is an integer number (3601350).

Almost surely, 2^82538136 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 82538136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115243200).

82538136 is an abundant number, since it is smaller than the sum of its proper divisors (147948264).

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

82538136 is a wasteful number, since it uses less digits than its factorization.

82538136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82538136 is about 9085.0501374511. The cubic root of 82538136 is about 435.3964518879.

The spelling of 82538136 in words is "eighty-two million, five hundred thirty-eight thousand, one hundred thirty-six".