111589 has 4 divisors (see below), whose sum is σ = 112480. Its totient is φ = 110700.

The previous prime is 111581. The next prime is 111593. The reversal of 111589 is 985111.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 985111 = 53 ⋅18587.

It is a cyclic number.

It is not a de Polignac number, because 111589 - 2³ = 111581 is a prime.

It is a Duffinian number.

111589 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111581) 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, 219 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (28120).

2¹¹¹⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

111589 is a deficient number, since it is larger than the sum of its proper divisors (891).

111589 is an equidigital number, since it uses as much as digits as its factorization.

111589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890.

The product of its digits is 360, while the sum is 25.

The square root of 111589 is about 334.0493975447. The cubic root of 111589 is about 48.1438106035.

It can be divided in two parts, 1115 and 89, that multiplied together give a triangular number (99235 = T₄₄₅).

The spelling of 111589 in words is "one hundred eleven thousand, five hundred eighty-nine".