205289 has 4 divisors (see below), whose sum is σ = 234624. Its totient is φ = 175956.

The previous prime is 205267. The next prime is 205297. The reversal of 205289 is 982502.

205289 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, and also an emirpimes, since its reverse is a distinct semiprime: 982502 = 2 ⋅491251.

It is a cyclic number.

It is not a de Polignac number, because 205289 - 2⁸ = 205033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14657 + ... + 14670.

It is an arithmetic number, because the mean of its divisors is an integer number (58656).

2²⁰⁵²⁸⁹ is an apocalyptic number.

It is an amenable number.

205289 is a deficient number, since it is larger than the sum of its proper divisors (29335).

205289 is an equidigital number, since it uses as much as digits as its factorization.

205289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29334.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 205289 is about 453.0882916165. The cubic root of 205289 is about 58.9913805277.

It can be divided in two parts, 205 and 289, that added together give a palindrome (494).

The spelling of 205289 in words is "two hundred five thousand, two hundred eighty-nine".