82032 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 27328.

The previous prime is 82031. The next prime is 82037. The reversal of 82032 is 23028.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 807 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2⁸²⁰³² is an apocalyptic number.

It is an amenable number.

82032 is an abundant number, since it is smaller than the sum of its proper divisors (130008).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

82032 is a wasteful number, since it uses less digits than its factorization.

82032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82032 is about 286.4122902391. The cubic root of 82032 is about 43.4504654807.

Adding to 82032 its product of nonzero digits (96), we get a palindrome (82128).

The spelling of 82032 in words is "eighty-two thousand, thirty-two".