205395 has 8 divisors (see below), whose sum is σ = 328656. Its totient is φ = 109536.

The previous prime is 205391. The next prime is 205397. The reversal of 205395 is 593502.

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

It is not a de Polignac number, because 205395 - 2² = 205391 is a prime.

205395 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205395.

It is not an unprimeable number, because it can be changed into a prime (205391) 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, 6832 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (41082).

2²⁰⁵³⁹⁵ is an apocalyptic number.

205395 is a deficient number, since it is larger than the sum of its proper divisors (123261).

205395 is a wasteful number, since it uses less digits than its factorization.

205395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 205395 is about 453.2052515141. The cubic root of 205395 is about 59.0015320870.

Adding to 205395 its reverse (593502), we get a palindrome (798897).

The spelling of 205395 in words is "two hundred five thousand, three hundred ninety-five".