82881167 has 16 divisors (see below), whose sum is σ = 89177088. Its totient is φ = 76839840.

The previous prime is 82881151. The next prime is 82881179. The reversal of 82881167 is 76118828.

It is a cyclic number.

It is not a de Polignac number, because 82881167 - 2⁴ = 82881151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82881107) 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, 178778 + ... + 179240.

It is an arithmetic number, because the mean of its divisors is an integer number (5573568).

Almost surely, 2^82881167 is an apocalyptic number.

82881167 is a deficient number, since it is larger than the sum of its proper divisors (6295921).

82881167 is a wasteful number, since it uses less digits than its factorization.

82881167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710.

The product of its digits is 43008, while the sum is 41.

The square root of 82881167 is about 9103.9094349625. The cubic root of 82881167 is about 435.9987918352.

The spelling of 82881167 in words is "eighty-two million, eight hundred eighty-one thousand, one hundred sixty-seven".