82332216 has 48 divisors (see below), whose sum is σ = 223423200. Its totient is φ = 27389952.

The previous prime is 82332197. The next prime is 82332233. The reversal of 82332216 is 61223328.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82332216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54625 + ... + 56111.

It is an arithmetic number, because the mean of its divisors is an integer number (4654650).

Almost surely, 2^82332216 is an apocalyptic number.

It is an amenable number.

82332216 is an abundant number, since it is smaller than the sum of its proper divisors (141090984).

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

82332216 is a wasteful number, since it uses less digits than its factorization.

82332216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2261 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 82332216 is about 9073.7101562701. The cubic root of 82332216 is about 435.0340678828.

The spelling of 82332216 in words is "eighty-two million, three hundred thirty-two thousand, two hundred sixteen".