82538544 has 80 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 24864000.

The previous prime is 82538539. The next prime is 82538557. The reversal of 82538544 is 44583528.

It is a super-2 number, since 2×82538544² = 13625222491279872, which contains 22 as substring.

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, 117394 + ... + 118094.

Almost surely, 2^82538544 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 82538544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

82538544 is an abundant number, since it is smaller than the sum of its proper divisors (151446480).

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

82538544 is a wasteful number, since it uses less digits than its factorization.

82538544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 82538544 is about 9085.0725918949. The cubic root of 82538544 is about 435.3971692996.

The spelling of 82538544 in words is "eighty-two million, five hundred thirty-eight thousand, five hundred forty-four".