82167936 has 128 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 25067520.

The previous prime is 82167931. The next prime is 82167947. The reversal of 82167936 is 63976128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (82167931) 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, 267495 + ... + 267801.

Almost surely, 2^82167936 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 82167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

82167936 is an abundant number, since it is smaller than the sum of its proper divisors (155337024).

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

82167936 is a wasteful number, since it uses less digits than its factorization.

82167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 82167936 is about 9064.6531097445. The cubic root of 82167936 is about 434.7445296088.

The spelling of 82167936 in words is "eighty-two million, one hundred sixty-seven thousand, nine hundred thirty-six".