82221216 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 21262080.

The previous prime is 82221199. The next prime is 82221221. The reversal of 82221216 is 61212228.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 31 ways as a sum of consecutive naturals, for example, 362095 + ... + 362321.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^82221216 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 82221216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

82221216 is an abundant number, since it is smaller than the sum of its proper divisors (193567584).

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

82221216 is a wasteful number, since it uses less digits than its factorization.

82221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 82221216 is about 9067.5915214571. The cubic root of 82221216 is about 434.8384761648.

It can be divided in two parts, 822212 and 16, that added together give a palindrome (822228).

The spelling of 82221216 in words is "eighty-two million, two hundred twenty-one thousand, two hundred sixteen".