117968 has 20 divisors (see below), whose sum is σ = 233988. Its totient is φ = 57600.

The previous prime is 117959. The next prime is 117973. The reversal of 117968 is 869711.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 23104 = 308^2 + 152^2 .

It is an Ulam number.

It is a plaindrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1118 + ... + 1218.

2¹¹⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

117968 is a deficient number, since it is larger than the sum of its proper divisors (116020).

117968 is a wasteful number, since it uses less digits than its factorization.

117968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its digits is 3024, while the sum is 32.

The square root of 117968 is about 343.4646997873. The cubic root of 117968 is about 49.0442471353.

The spelling of 117968 in words is "one hundred seventeen thousand, nine hundred sixty-eight".