82132 has 6 divisors (see below), whose sum is σ = 143738. Its totient is φ = 41064.

The previous prime is 82129. The next prime is 82139. The reversal of 82132 is 23128.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 7056 = 274^2 + 84^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10263 + ... + 10270.

2⁸²¹³² is an apocalyptic number.

It is an amenable number.

82132 is a deficient number, since it is larger than the sum of its proper divisors (61606).

82132 is a wasteful number, since it uses less digits than its factorization.

82132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20535 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 82132 is about 286.5868105828. The cubic root of 82132 is about 43.4681142119.

Adding to 82132 its product of digits (96), we get a palindrome (82228).

The spelling of 82132 in words is "eighty-two thousand, one hundred thirty-two".