82542336 has 72 divisors (see below), whose sum is σ = 226834944. Its totient is φ = 26618880.

The previous prime is 82542329. The next prime is 82542371. The reversal of 82542336 is 63324528.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82542297 and 82542306.

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, 22075 + ... + 25541.

Almost surely, 2^82542336 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 82542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113417472).

82542336 is an abundant number, since it is smaller than the sum of its proper divisors (144292608).

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

82542336 is a wasteful number, since it uses less digits than its factorization.

82542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3503 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 82542336 is about 9085.2812834826. The cubic root of 82542336 is about 435.4038368947.

The spelling of 82542336 in words is "eighty-two million, five hundred forty-two thousand, three hundred thirty-six".