205095 has 24 divisors (see below), whose sum is σ = 363888. Its totient is φ = 98560.

The previous prime is 205081. The next prime is 205097. The reversal of 205095 is 590502.

It is not a de Polignac number, because 205095 - 2⁵ = 205063 is a prime.

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 205095.

It is not an unprimeable number, because it can be changed into a prime (205097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (15162).

2²⁰⁵⁰⁹⁵ is an apocalyptic number.

205095 is a deficient number, since it is larger than the sum of its proper divisors (158793).

205095 is a wasteful number, since it uses less digits than its factorization.

205095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 205095 is about 452.8741547053. The cubic root of 205095 is about 58.9727922047.

Adding to 205095 its reverse (590502), we get a palindrome (795597).

It can be divided in two parts, 2050 and 95, that added together give a triangular number (2145 = T₆₅).

The spelling of 205095 in words is "two hundred five thousand, ninety-five".