208589 has 2 divisors, whose sum is σ = 208590. Its totient is φ = 208588.

The previous prime is 208577. The next prime is 208591. The reversal of 208589 is 985802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 13225 = 442^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 208589 - 2⁸ = 208333 is a prime.

Together with 208591, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208519) 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 as a sum of consecutive naturals, namely, 104294 + 104295.

It is an arithmetic number, because the mean of its divisors is an integer number (104295).

2²⁰⁸⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

208589 is a deficient number, since it is larger than the sum of its proper divisors (1).

208589 is an equidigital number, since it uses as much as digits as its factorization.

208589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 208589 is about 456.7154475163. The cubic root of 208589 is about 59.3057952698.

It can be divided in two parts, 208 and 589, that added together give a palindrome (797).

The spelling of 208589 in words is "two hundred eight thousand, five hundred eighty-nine".