82566161 has 16 divisors (see below), whose sum is σ = 90882000. Its totient is φ = 74661888.

The previous prime is 82566151. The next prime is 82566167. The reversal of 82566161 is 16166528.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4579600 + 77986561 = 2140^2 + 8831^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82566161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82566167) 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, 183665 + ... + 184113.

It is an arithmetic number, because the mean of its divisors is an integer number (5680125).

Almost surely, 2^82566161 is an apocalyptic number.

It is an amenable number.

82566161 is a deficient number, since it is larger than the sum of its proper divisors (8315839).

82566161 is a wasteful number, since it uses less digits than its factorization.

82566161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868.

The product of its digits is 17280, while the sum is 35.

The square root of 82566161 is about 9086.5923755828. The cubic root of 82566161 is about 435.4457244844.

The spelling of 82566161 in words is "eighty-two million, five hundred sixty-six thousand, one hundred sixty-one".