166171131 has 48 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 86837184.

The previous prime is 166171123. The next prime is 166171147. The reversal of 166171131 is 131171661.

166171131 is a `hidden beast` number, since 1 + 6 + 617 + 11 + 31 = 666.

It is not a de Polignac number, because 166171131 - 2³ = 166171123 is a prime.

It is a super-2 number, since 2×166171131² = 55225689555638322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166171095 and 166171104.

It is not an unprimeable number, because it can be changed into a prime (166171231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32320 + ... + 37106.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^166171131 is an apocalyptic number.

166171131 is a deficient number, since it is larger than the sum of its proper divisors (132600069).

166171131 is a wasteful number, since it uses less digits than its factorization.

166171131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4845 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 166171131 is about 12890.7381867758. The cubic root of 166171131 is about 549.7752591431.

The spelling of 166171131 in words is "one hundred sixty-six million, one hundred seventy-one thousand, one hundred thirty-one".