112589 has 2 divisors, whose sum is σ = 112590. Its totient is φ = 112588.

The previous prime is 112583. The next prime is 112601. The reversal of 112589 is 985211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 12100 = 317^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 112589 - 2⁴ = 112573 is a prime.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56294 + 56295.

It is an arithmetic number, because the mean of its divisors is an integer number (56295).

2¹¹²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

112589 is a deficient number, since it is larger than the sum of its proper divisors (1).

112589 is an equidigital number, since it uses as much as digits as its factorization.

112589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 26.

The square root of 112589 is about 335.5428437622. The cubic root of 112589 is about 48.2871960311.

The spelling of 112589 in words is "one hundred twelve thousand, five hundred eighty-nine".