205887 has 16 divisors (see below), whose sum is σ = 317952. Its totient is φ = 117120.

The previous prime is 205883. The next prime is 205913. The reversal of 205887 is 788502.

It is not a de Polignac number, because 205887 - 2² = 205883 is a prime.

205887 is a lucky number.

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 205887.

It is not an unprimeable number, because it can be changed into a prime (205883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (19872).

2²⁰⁵⁸⁸⁷ is an apocalyptic number.

205887 is a deficient number, since it is larger than the sum of its proper divisors (112065).

205887 is a wasteful number, since it uses less digits than its factorization.

205887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 205887 is about 453.7477272670. The cubic root of 205887 is about 59.0486049730.

It can be divided in two parts, 2058 and 87, that added together give a triangular number (2145 = T₆₅).

The spelling of 205887 in words is "two hundred five thousand, eight hundred eighty-seven".