82932 has 12 divisors (see below), whose sum is σ = 193536. Its totient is φ = 27640.

The previous prime is 82913. The next prime is 82939. The reversal of 82932 is 23928.

82932 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82939) by changing a digit.

82932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3444 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2⁸²⁹³² is an apocalyptic number.

It is an amenable number.

82932 is an abundant number, since it is smaller than the sum of its proper divisors (110604).

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 (96768).

82932 is a wasteful number, since it uses less digits than its factorization.

82932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918 (or 6916 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 82932 is about 287.9791659131. The cubic root of 82932 is about 43.6087909777.

It can be divided in two parts, 829 and 32, that added together give a triangular number (861 = T₄₁).

The spelling of 82932 in words is "eighty-two thousand, nine hundred thirty-two".