82523712 has 112 divisors (see below), whose sum is σ = 234159552. Its totient is φ = 25559040.

The previous prime is 82523687. The next prime is 82523723. The reversal of 82523712 is 21732528.

It is a self number, because there is not a number n which added to its sum of digits gives 82523712.

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, 427488 + ... + 427680.

Almost surely, 2^82523712 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 82523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117079776).

82523712 is an abundant number, since it is smaller than the sum of its proper divisors (151635840).

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

82523712 is a wasteful number, since it uses less digits than its factorization.

82523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 82523712 is about 9084.2562711540. The cubic root of 82523712 is about 435.3710877569.

The spelling of 82523712 in words is "eighty-two million, five hundred twenty-three thousand, seven hundred twelve".