82166161 has 16 divisors (see below), whose sum is σ = 103201920. Its totient is φ = 63550080.

The previous prime is 82166137. The next prime is 82166167. The reversal of 82166161 is 16166128.

It is not a de Polignac number, because 82166161 - 2⁷ = 82166033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82166167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655 + ... + 14443.

It is an arithmetic number, because the mean of its divisors is an integer number (6450120).

Almost surely, 2^82166161 is an apocalyptic number.

It is an amenable number.

82166161 is a deficient number, since it is larger than the sum of its proper divisors (21035759).

82166161 is a wasteful number, since it uses less digits than its factorization.

82166161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944.

The product of its digits is 3456, while the sum is 31.

The square root of 82166161 is about 9064.5552014426. Note that the first 3 decimals coincide. The cubic root of 82166161 is about 434.7413991213.

The spelling of 82166161 in words is "eighty-two million, one hundred sixty-six thousand, one hundred sixty-one".