82432 has 40 divisors (see below), whose sum is σ = 196416. Its totient is φ = 33792.

The previous prime is 82421. The next prime is 82457. The reversal of 82432 is 23428.

It is a happy number.

Its product of digits (384) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

82432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3573 + ... + 3595.

2⁸²⁴³² 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 82432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

82432 is an abundant number, since it is smaller than the sum of its proper divisors (113984).

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

82432 is an equidigital number, since it uses as much as digits as its factorization.

82432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 82432 is about 287.1097351188. The cubic root of 82432 is about 43.5209746033.

The spelling of 82432 in words is "eighty-two thousand, four hundred thirty-two".