82164220 has 24 divisors (see below), whose sum is σ = 172875024. Its totient is φ = 32802816.

The previous prime is 82164197. The next prime is 82164241. The reversal of 82164220 is 2246128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7612 + ... + 14908.

It is an arithmetic number, because the mean of its divisors is an integer number (7203126).

Almost surely, 2^82164220 is an apocalyptic number.

It is an amenable number.

82164220 is an abundant number, since it is smaller than the sum of its proper divisors (90710804).

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

82164220 is a wasteful number, since it uses less digits than its factorization.

82164220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 82164220 is about 9064.4481354355. The cubic root of 82164220 is about 434.7379758154.

The spelling of 82164220 in words is "eighty-two million, one hundred sixty-four thousand, two hundred twenty".