117585 has 32 divisors (see below), whose sum is σ = 228480. Its totient is φ = 57024.

The previous prime is 117577. The next prime is 117617. The reversal of 117585 is 585711.

It is not a de Polignac number, because 117585 - 2³ = 117577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2¹¹⁷⁵⁸⁵ is an apocalyptic number.

117585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117585 is a deficient number, since it is larger than the sum of its proper divisors (110895).

117585 is a wasteful number, since it uses less digits than its factorization.

117585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 117585 is about 342.9066928481. The cubic root of 117585 is about 48.9911132016.

The spelling of 117585 in words is "one hundred seventeen thousand, five hundred eighty-five".