82218312 has 48 divisors (see below), whose sum is σ = 242920080. Its totient is φ = 24914400.

The previous prime is 82218299. The next prime is 82218337. The reversal of 82218312 is 21381228.

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 11 ways as a sum of consecutive naturals, for example, 51114 + ... + 52697.

It is an arithmetic number, because the mean of its divisors is an integer number (5060835).

Almost surely, 2^82218312 is an apocalyptic number.

It is an amenable number.

82218312 is an abundant number, since it is smaller than the sum of its proper divisors (160701768).

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

82218312 is a wasteful number, since it uses less digits than its factorization.

82218312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103834 (or 103827 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82218312 is about 9067.4313893186. The cubic root of 82218312 is about 434.8333567002.

The spelling of 82218312 in words is "eighty-two million, two hundred eighteen thousand, three hundred twelve".