82523232 has 192 divisors, whose sum is σ = 276998400. Its totient is φ = 23639040.

The previous prime is 82523197. The next prime is 82523239. The reversal of 82523232 is 23232528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82523196 and 82523205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82523239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180348 + ... + 180804.

It is an arithmetic number, because the mean of its divisors is an integer number (1442700).

Almost surely, 2^82523232 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 82523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138499200).

82523232 is an abundant number, since it is smaller than the sum of its proper divisors (194475168).

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

82523232 is a wasteful number, since it uses less digits than its factorization.

82523232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 82523232 is about 9084.2298517816. The cubic root of 82523232 is about 435.3702436418.

The spelling of 82523232 in words is "eighty-two million, five hundred twenty-three thousand, two hundred thirty-two".