82218732 has 48 divisors (see below), whose sum is σ = 205948512. Its totient is φ = 25436160.

The previous prime is 82218713. The next prime is 82218737. The reversal of 82218732 is 23781228.

It is a junction number, because it is equal to n+sod(n) for n = 82218693 and 82218702.

It is not an unprimeable number, because it can be changed into a prime (82218737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12132 + ... + 17652.

It is an arithmetic number, because the mean of its divisors is an integer number (4290594).

Almost surely, 2^82218732 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 82218732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102974256).

82218732 is an abundant number, since it is smaller than the sum of its proper divisors (123729780).

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

82218732 is a wasteful number, since it uses less digits than its factorization.

82218732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5616 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 82218732 is about 9067.4545491003. The cubic root of 82218732 is about 434.8340971261.

The spelling of 82218732 in words is "eighty-two million, two hundred eighteen thousand, seven hundred thirty-two".