112581 has 12 divisors (see below), whose sum is σ = 185952. Its totient is φ = 64296.

The previous prime is 112577. The next prime is 112583. The reversal of 112581 is 185211.

It is not a de Polignac number, because 112581 - 2² = 112577 is a prime.

It is a super-2 number, since 2×112581² = 25348963122, which contains 22 as substring.

It is a Curzon number.

112581 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112581.

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 11 ways as a sum of consecutive naturals, for example, 831 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (15496).

2¹¹²⁵⁸¹ is an apocalyptic number.

It is an amenable number.

112581 is a deficient number, since it is larger than the sum of its proper divisors (73371).

112581 is a wasteful number, since it uses less digits than its factorization.

112581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1797 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 112581 is about 335.5309225690. The cubic root of 112581 is about 48.2860523234.

Adding to 112581 its reverse (185211), we get a palindrome (297792).

It can be divided in two parts, 1125 and 81, that multiplied together give a cube (91125 = 45³).

The spelling of 112581 in words is "one hundred twelve thousand, five hundred eighty-one".