166957 has 16 divisors (see below), whose sum is σ = 214272. Its totient is φ = 126720.

The previous prime is 166949. The next prime is 166967. The reversal of 166957 is 759661.

It is a cyclic number.

It is not a de Polignac number, because 166957 - 2³ = 166949 is a prime.

It is a Duffinian number.

Its product of digits (11340) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166967) 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, 2707 + ... + 2767.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2¹⁶⁶⁹⁵⁷ is an apocalyptic number.

166957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

166957 is a deficient number, since it is larger than the sum of its proper divisors (47315).

166957 is a wasteful number, since it uses less digits than its factorization.

166957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

The product of its digits is 11340, while the sum is 34.

The square root of 166957 is about 408.6037200026. The cubic root of 166957 is about 55.0640575956.

Subtracting 166957 from its reverse (759661), we obtain a cube (592704 = 84³).

The spelling of 166957 in words is "one hundred sixty-six thousand, nine hundred fifty-seven".