205695 has 24 divisors (see below), whose sum is σ = 408096. Its totient is φ = 93888.

The previous prime is 205663. The next prime is 205703. The reversal of 205695 is 596502.

It is not a de Polignac number, because 205695 - 2⁵ = 205663 is a prime.

205695 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (17004).

2²⁰⁵⁶⁹⁵ is an apocalyptic number.

205695 is a deficient number, since it is larger than the sum of its proper divisors (202401).

205695 is a wasteful number, since it uses less digits than its factorization.

205695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 205695 is about 453.5361066111. The cubic root of 205695 is about 59.0302439979.

It can be divided in two parts, 205 and 695, that added together give a square (900 = 30²).

The spelling of 205695 in words is "two hundred five thousand, six hundred ninety-five".