82166751 has 32 divisors (see below), whose sum is σ = 125910720. Its totient is φ = 52918272.

The previous prime is 82166743. The next prime is 82166753. The reversal of 82166751 is 15766128.

It is not a de Polignac number, because 82166751 - 2³ = 82166743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82166753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232591 + ... + 232943.

It is an arithmetic number, because the mean of its divisors is an integer number (3934710).

Almost surely, 2^82166751 is an apocalyptic number.

82166751 is a deficient number, since it is larger than the sum of its proper divisors (43743969).

82166751 is a wasteful number, since it uses less digits than its factorization.

82166751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82166751 is about 9064.5877457279. The cubic root of 82166751 is about 434.7424396827.

The spelling of 82166751 in words is "eighty-two million, one hundred sixty-six thousand, seven hundred fifty-one".