205239 has 12 divisors (see below), whose sum is σ = 287736. Its totient is φ = 130032.

The previous prime is 205237. The next prime is 205253. The reversal of 205239 is 932502.

It is not a de Polignac number, because 205239 - 2¹ = 205237 is a prime.

205239 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (23978).

2²⁰⁵²³⁹ is an apocalyptic number.

205239 is a deficient number, since it is larger than the sum of its proper divisors (82497).

205239 is an equidigital number, since it uses as much as digits as its factorization.

205239 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 205239 is about 453.0331113727. The cubic root of 205239 is about 58.9865908433.

It can be divided in two parts, 205 and 239, that added together give a palindrome (444).

The spelling of 205239 in words is "two hundred five thousand, two hundred thirty-nine".