11589 has 4 divisors (see below), whose sum is σ = 15456. Its totient is φ = 7724.

The previous prime is 11587. The next prime is 11593. The reversal of 11589 is 98511.

11589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a cyclic number.

It is not a de Polignac number, because 11589 - 2¹ = 11587 is a prime.

It is a D-number.

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1929 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

2¹¹⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

11589 is a deficient number, since it is larger than the sum of its proper divisors (3867).

11589 is an equidigital number, since it uses as much as digits as its factorization.

11589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866.

The product of its digits is 360, while the sum is 24.

The square root of 11589 is about 107.6522178127. The cubic root of 11589 is about 22.6298662752.

The spelling of 11589 in words is "eleven thousand, five hundred eighty-nine".