113685 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 49920.

The previous prime is 113683. The next prime is 113717. The reversal of 113685 is 586311.

It is not a de Polignac number, because 113685 - 2¹ = 113683 is a prime.

It is a Curzon number.

113685 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2119 + ... + 2171.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2¹¹³⁶⁸⁵ is an apocalyptic number.

113685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113685 is the 195-th octagonal number.

It is an amenable number.

113685 is a deficient number, since it is larger than the sum of its proper divisors (104043).

113685 is a wasteful number, since it uses less digits than its factorization.

113685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85.

The product of its digits is 720, while the sum is 24.

The square root of 113685 is about 337.1720628996. The cubic root of 113685 is about 48.4433745910.

Adding to 113685 its reverse (586311), we get a palindrome (699996).

It can be divided in two parts, 1136 and 85, that added together give a palindrome (1221).

The spelling of 113685 in words is "one hundred thirteen thousand, six hundred eighty-five".