205814 has 16 divisors (see below), whose sum is σ = 360096. Its totient is φ = 86400.

The previous prime is 205783. The next prime is 205817. The reversal of 205814 is 418502.

205814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 205814.

It is not an unprimeable number, because it can be changed into a prime (205817) by changing a digit.

205814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (22506).

2²⁰⁵⁸¹⁴ is an apocalyptic number.

205814 is a deficient number, since it is larger than the sum of its proper divisors (154282).

205814 is a wasteful number, since it uses less digits than its factorization.

205814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 205814 is about 453.6672789611. The cubic root of 205814 is about 59.0416253228.

The spelling of 205814 in words is "two hundred five thousand, eight hundred fourteen".