82523056 has 80 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 32128320.

The previous prime is 82523017. The next prime is 82523071. The reversal of 82523056 is 65032528.

It is a happy number.

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, 59685 + ... + 61051.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^82523056 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 82523056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

82523056 is an abundant number, since it is smaller than the sum of its proper divisors (121035344).

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

82523056 is a wasteful number, since it uses less digits than its factorization.

82523056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 82523056 is about 9084.2201646592. The cubic root of 82523056 is about 435.3699341322.

The spelling of 82523056 in words is "eighty-two million, five hundred twenty-three thousand, fifty-six".