82166091 has 24 divisors (see below), whose sum is σ = 130559184. Its totient is φ = 45803520.

The previous prime is 82166069. The next prime is 82166093. The reversal of 82166091 is 19066128.

It is not a de Polignac number, because 82166091 - 2⁹ = 82165579 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82166093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790 + ... + 12843.

It is an arithmetic number, because the mean of its divisors is an integer number (5439966).

Almost surely, 2^82166091 is an apocalyptic number.

82166091 is a deficient number, since it is larger than the sum of its proper divisors (48393093).

82166091 is a wasteful number, since it uses less digits than its factorization.

82166091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691 (or 13684 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 82166091 is about 9064.5513402485. The cubic root of 82166091 is about 434.7412756645.

The spelling of 82166091 in words is "eighty-two million, one hundred sixty-six thousand, ninety-one".