166956 has 12 divisors (see below), whose sum is σ = 389592. Its totient is φ = 55648.

The previous prime is 166949. The next prime is 166967. The reversal of 166956 is 659661.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6945 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (32466).

2¹⁶⁶⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

166956 is an abundant number, since it is smaller than the sum of its proper divisors (222636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166956 is a wasteful number, since it uses less digits than its factorization.

166956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13918 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 166956 is about 408.6024963213. The cubic root of 166956 is about 55.0639476588.

The spelling of 166956 in words is "one hundred sixty-six thousand, nine hundred fifty-six".