205833 has 4 divisors (see below), whose sum is σ = 274448. Its totient is φ = 137220.

The previous prime is 205823. The next prime is 205837. The reversal of 205833 is 338502.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 205833 - 2⁴ = 205817 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

205833 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 205833.

It is not an unprimeable number, because it can be changed into a prime (205837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34303 + ... + 34308.

It is an arithmetic number, because the mean of its divisors is an integer number (68612).

2²⁰⁵⁸³³ is an apocalyptic number.

It is an amenable number.

205833 is a deficient number, since it is larger than the sum of its proper divisors (68615).

205833 is an equidigital number, since it uses as much as digits as its factorization.

205833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68614.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205833 is about 453.6882189345. The cubic root of 205833 is about 59.0434421029.

The spelling of 205833 in words is "two hundred five thousand, eight hundred thirty-three".