205589 has 2 divisors, whose sum is σ = 205590. Its totient is φ = 205588.

The previous prime is 205559. The next prime is 205603. The reversal of 205589 is 985502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180625 + 24964 = 425^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 205589 - 2¹² = 201493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102794 + 102795.

It is an arithmetic number, because the mean of its divisors is an integer number (102795).

2²⁰⁵⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

205589 is a deficient number, since it is larger than the sum of its proper divisors (1).

205589 is an equidigital number, since it uses as much as digits as its factorization.

205589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 205589 is about 453.4192320579. The cubic root of 205589 is about 59.0201023141.

The spelling of 205589 in words is "two hundred five thousand, five hundred eighty-nine".