10589 has 2 divisors, whose sum is σ = 10590. Its totient is φ = 10588.

The previous prime is 10567. The next prime is 10597. The reversal of 10589 is 98501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7225 + 3364 = 85^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 10589 - 2⁸ = 10333 is a prime.

It is a super-2 number, since 2×10589² = 224253842, which contains 22 as substring.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10529) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5294 + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (5295).

2¹⁰⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

10589 is a deficient number, since it is larger than the sum of its proper divisors (1).

10589 is an equidigital number, since it uses as much as digits as its factorization.

10589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 10589 is about 102.9028668211. The cubic root of 10589 is about 21.9592911097.

The spelling of 10589 in words is "ten thousand, five hundred eighty-nine".