117591 has 8 divisors (see below), whose sum is σ = 165120. Its totient is φ = 74232.

The previous prime is 117577. The next prime is 117617. The reversal of 117591 is 195711.

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

It is not a de Polignac number, because 117591 - 2¹⁴ = 101207 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 117591.

It is not an unprimeable number, because it can be changed into a prime (117511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 975 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (20640).

2¹¹⁷⁵⁹¹ is an apocalyptic number.

117591 is a deficient number, since it is larger than the sum of its proper divisors (47529).

117591 is a wasteful number, since it uses less digits than its factorization.

117591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085.

The product of its digits is 315, while the sum is 24.

The square root of 117591 is about 342.9154414721. The cubic root of 117591 is about 48.9919464759.

The spelling of 117591 in words is "one hundred seventeen thousand, five hundred ninety-one".