82166337 has 48 divisors (see below), whose sum is σ = 137120256. Its totient is φ = 46944000.

The previous prime is 82166323. The next prime is 82166339. The reversal of 82166337 is 73366128.

It is a happy number.

82166337 is a `hidden beast` number, since 8 + 2 + 16 + 633 + 7 = 666.

It is not a de Polignac number, because 82166337 - 2⁷ = 82166209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82166339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125503 + ... + 126155.

It is an arithmetic number, because the mean of its divisors is an integer number (2856672).

Almost surely, 2^82166337 is an apocalyptic number.

It is an amenable number.

82166337 is a deficient number, since it is larger than the sum of its proper divisors (54953919).

82166337 is a wasteful number, since it uses less digits than its factorization.

82166337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 739 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 82166337 is about 9064.5649095806. The cubic root of 82166337 is about 434.7417095266.

The spelling of 82166337 in words is "eighty-two million, one hundred sixty-six thousand, three hundred thirty-seven".