205933 has 16 divisors (see below), whose sum is σ = 265216. Its totient is φ = 155520.

The previous prime is 205913. The next prime is 205937. The reversal of 205933 is 339502.

205933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

205933 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 205933 - 2⁹ = 205421 is a prime.

205933 is an undulating number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205937) 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, 2785 + ... + 2857.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

2²⁰⁵⁹³³ is an apocalyptic number.

It is an amenable number.

205933 is a deficient number, since it is larger than the sum of its proper divisors (59283).

205933 is a wasteful number, since it uses less digits than its factorization.

205933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 205933 is about 453.7984133952. The cubic root of 205933 is about 59.0530022614.

The spelling of 205933 in words is "two hundred five thousand, nine hundred thirty-three".