82166128 has 20 divisors (see below), whose sum is σ = 173669688. Its totient is φ = 37348160.

The previous prime is 82166111. The next prime is 82166131.

82166128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82166093 and 82166102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233251 + ... + 233602.

Almost surely, 2^82166128 is an apocalyptic number.

82166128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82166128 is an abundant number, since it is smaller than the sum of its proper divisors (91503560).

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

82166128 is a wasteful number, since it uses less digits than its factorization.

82166128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466872 (or 466866 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 82166128 is about 9064.5533811656. The cubic root of 82166128 is about 434.7413409203.

The spelling of 82166128 in words is "eighty-two million, one hundred sixty-six thousand, one hundred twenty-eight".