205117 has 8 divisors (see below), whose sum is σ = 231840. Its totient is φ = 179760.

The previous prime is 205111. The next prime is 205129. The reversal of 205117 is 711502.

205117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205117 is a prime.

It is a Duffinian number.

205117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 205117.

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 205117.

It is not an unprimeable number, because it can be changed into a prime (205111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2²⁰⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

205117 is a deficient number, since it is larger than the sum of its proper divisors (26723).

205117 is a wasteful number, since it uses less digits than its factorization.

205117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 205117 is about 452.8984433623. The cubic root of 205117 is about 58.9749007479.

Adding to 205117 its reverse (711502), we get a palindrome (916619).

The spelling of 205117 in words is "two hundred five thousand, one hundred seventeen".