205317 has 12 divisors (see below), whose sum is σ = 339040. Its totient is φ = 117288.

The previous prime is 205307. The next prime is 205319. The reversal of 205317 is 713502.

It is not a de Polignac number, because 205317 - 2⁶ = 205253 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205317.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205317.

It is not an unprimeable number, because it can be changed into a prime (205319) 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, 1567 + ... + 1692.

2²⁰⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

205317 is a deficient number, since it is larger than the sum of its proper divisors (133723).

205317 is a wasteful number, since it uses less digits than its factorization.

205317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 205317 is about 453.1191896179. The cubic root of 205317 is about 58.9940624112.

Adding to 205317 its reverse (713502), we get a palindrome (918819).

The spelling of 205317 in words is "two hundred five thousand, three hundred seventeen".