82218112 has 32 divisors (see below), whose sum is σ = 166255920. Its totient is φ = 40491264.

The previous prime is 82218109. The next prime is 82218131. The reversal of 82218112 is 21181228.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3783 + ... + 13369.

Almost surely, 2^82218112 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 82218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83127960).

82218112 is an abundant number, since it is smaller than the sum of its proper divisors (84037808).

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

82218112 is an equidigital number, since it uses as much as digits as its factorization.

82218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9656 counting only the distinct ones).

The product of its digits is 512, while the sum is 25.

The square root of 82218112 is about 9067.4203608303. The cubic root of 82218112 is about 434.8330041156.

The spelling of 82218112 in words is "eighty-two million, two hundred eighteen thousand, one hundred twelve".