112588 has 12 divisors (see below), whose sum is σ = 225232. Its totient is φ = 48240.

The previous prime is 112583. The next prime is 112589. The reversal of 112588 is 885211.

112588 is an admirable number.

It is an Ulam number.

It is a plaindrome in base 10 and 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 3 ways as a sum of consecutive naturals, for example, 1983 + ... + 2038.

2¹¹²⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

112588 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112588 is a wasteful number, since it uses less digits than its factorization.

112588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4030 counting only the distinct ones).

The product of its digits is 640, while the sum is 25.

The square root of 112588 is about 335.5413536362. The cubic root of 112588 is about 48.2870530706.

Adding to 112588 its reverse (885211), we get a palindrome (997799).

It can be divided in two parts, 112 and 588, that multiplied together give a palindrome (65856).

The spelling of 112588 in words is "one hundred twelve thousand, five hundred eighty-eight".