82632 has 32 divisors (see below), whose sum is σ = 226080. Its totient is φ = 24960.

The previous prime is 82619. The next prime is 82633. The reversal of 82632 is 23628.

82632 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82599 and 82608.

It is not an unprimeable number, because it can be changed into a prime (82633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (7065).

2⁸²⁶³² 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 82632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113040).

82632 is an abundant number, since it is smaller than the sum of its proper divisors (143448).

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

82632 is a wasteful number, since it uses less digits than its factorization.

82632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 82632 is about 287.4578229932. The cubic root of 82632 is about 43.5561436513.

It can be divided in two parts, 826 and 32, that added together give a palindrome (858).

The spelling of 82632 in words is "eighty-two thousand, six hundred thirty-two".