82417164 has 24 divisors (see below), whose sum is σ = 192539760. Its totient is φ = 27439104.

The previous prime is 82417163. The next prime is 82417183. The reversal of 82417164 is 46171428.

It is not an unprimeable number, because it can be changed into a prime (82417163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7452 + ... + 14844.

It is an arithmetic number, because the mean of its divisors is an integer number (8022490).

Almost surely, 2^82417164 is an apocalyptic number.

It is an amenable number.

82417164 is an abundant number, since it is smaller than the sum of its proper divisors (110122596).

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

82417164 is a wasteful number, since it uses less digits than its factorization.

82417164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8329 (or 8327 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 82417164 is about 9078.3899453593. The cubic root of 82417164 is about 435.1836349793.

The spelling of 82417164 in words is "eighty-two million, four hundred seventeen thousand, one hundred sixty-four".