82552032 has 144 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 26127360.

The previous prime is 82552031. The next prime is 82552061. The reversal of 82552032 is 23025528.

82552032 is a `hidden beast` number, since 82 + 552 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 82551987 and 82552005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82552031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649953 + ... + 650079.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^82552032 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 82552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

82552032 is an abundant number, since it is smaller than the sum of its proper divisors (164432160).

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

82552032 is a wasteful number, since it uses less digits than its factorization.

82552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82552032 is about 9085.8148781493. The cubic root of 82552032 is about 435.4208847537.

The spelling of 82552032 in words is "eighty-two million, five hundred fifty-two thousand, thirty-two".