166167 has 12 divisors (see below), whose sum is σ = 247000. Its totient is φ = 107568.

The previous prime is 166157. The next prime is 166169. The reversal of 166167 is 761661.

It is not a de Polignac number, because 166167 - 2⁴ = 166151 is a prime.

It is a super-2 number, since 2×166167² = 55222943778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166167.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166167.

It is not an unprimeable number, because it can be changed into a prime (166169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 582.

2¹⁶⁶¹⁶⁷ is an apocalyptic number.

166167 is the 333-rd pentagonal number.

166167 is a deficient number, since it is larger than the sum of its proper divisors (80833).

166167 is a wasteful number, since it uses less digits than its factorization.

166167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 166167 is about 407.6358669205. The cubic root of 166167 is about 54.9770703317.

It can be divided in two parts, 1661 and 67, that added together give a cube (1728 = 12³).

The spelling of 166167 in words is "one hundred sixty-six thousand, one hundred sixty-seven".