117993 has 8 divisors (see below), whose sum is σ = 161728. Its totient is φ = 76464.

The previous prime is 117991. The next prime is 118033. The reversal of 117993 is 399711.

117993 is nontrivially palindromic in base 7.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 117993 - 2¹ = 117991 is a prime.

It is the 344-th Hogben number.

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 117993.

It is not an unprimeable number, because it can be changed into a prime (117991) by changing a digit.

It is a nontrivial repunit in base 343.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2¹¹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

117993 is a deficient number, since it is larger than the sum of its proper divisors (43735).

117993 is a wasteful number, since it uses less digits than its factorization.

117993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103.

The product of its digits is 1701, while the sum is 30.

The square root of 117993 is about 343.5010917013. The cubic root of 117993 is about 49.0477114069.

The spelling of 117993 in words is "one hundred seventeen thousand, nine hundred ninety-three".