113585 has 4 divisors (see below), whose sum is σ = 136308. Its totient is φ = 90864.

The previous prime is 113567. The next prime is 113591. The reversal of 113585 is 585311.

Added to its reverse (585311) it gives a square (698896 = 836²).

113585 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 39601 + 73984 = 199^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 113585 - 2⁸ = 113329 is a prime.

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 113585.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11354 + ... + 11363.

It is an arithmetic number, because the mean of its divisors is an integer number (34077).

2¹¹³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

113585 is a deficient number, since it is larger than the sum of its proper divisors (22723).

113585 is an equidigital number, since it uses as much as digits as its factorization.

113585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22722.

The product of its digits is 600, while the sum is 23.

The square root of 113585 is about 337.0237380364. The cubic root of 113585 is about 48.4291664470.

Adding to 113585 its reverse (585311), we get a palindrome (698896).

The spelling of 113585 in words is "one hundred thirteen thousand, five hundred eighty-five".