112591 has 8 divisors (see below), whose sum is σ = 123120. Its totient is φ = 102528.

The previous prime is 112589. The next prime is 112601. The reversal of 112591 is 195211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112591 - 2¹ = 112589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2¹¹²⁵⁹¹ is an apocalyptic number.

112591 is a deficient number, since it is larger than the sum of its proper divisors (10529).

112591 is a wasteful number, since it uses less digits than its factorization.

112591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 90, while the sum is 19.

The square root of 112591 is about 335.5458239943. The cubic root of 112591 is about 48.2874819496.

It can be divided in two parts, 112 and 591, that added together give a triangular number (703 = T₃₇).

The spelling of 112591 in words is "one hundred twelve thousand, five hundred ninety-one".