117957 has 16 divisors (see below), whose sum is σ = 185472. Its totient is φ = 65280.

The previous prime is 117937. The next prime is 117959. The reversal of 117957 is 759711.

It is not a de Polignac number, because 117957 - 2⁸ = 117701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117959) 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, 793 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2¹¹⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

117957 is a deficient number, since it is larger than the sum of its proper divisors (67515).

117957 is a wasteful number, since it uses less digits than its factorization.

117957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 2205, while the sum is 30.

The square root of 117957 is about 343.4486861236. The cubic root of 117957 is about 49.0427227007.

The spelling of 117957 in words is "one hundred seventeen thousand, nine hundred fifty-seven".