205185 has 8 divisors (see below), whose sum is σ = 328320. Its totient is φ = 109424.

The previous prime is 205171. The next prime is 205187. The reversal of 205185 is 581502.

205185 is nontrivially palindromic in base 12.

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

It is a cyclic number.

It is not a de Polignac number, because 205185 - 2¹⁰ = 204161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205187) 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, 6825 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2²⁰⁵¹⁸⁵ is an apocalyptic number.

It is an amenable number.

205185 is a deficient number, since it is larger than the sum of its proper divisors (123135).

205185 is a wasteful number, since it uses less digits than its factorization.

205185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 205185 is about 452.9735091592. The cubic root of 205185 is about 58.9814171104.

Adding to 205185 its reverse (581502), we get a palindrome (786687).

The spelling of 205185 in words is "two hundred five thousand, one hundred eighty-five".