112585 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 77440.

The previous prime is 112583. The next prime is 112589. The reversal of 112585 is 585211.

It is not a de Polignac number, because 112585 - 2¹ = 112583 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (112583) 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 15 ways as a sum of consecutive naturals, for example, 1221 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2¹¹²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

112585 is a deficient number, since it is larger than the sum of its proper divisors (42935).

112585 is a wasteful number, since it uses less digits than its factorization.

112585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 400, while the sum is 22.

The square root of 112585 is about 335.5368832185. The cubic root of 112585 is about 48.2866241840.

Adding to 112585 its reverse (585211), we get a palindrome (697796).

The spelling of 112585 in words is "one hundred twelve thousand, five hundred eighty-five".