205733 has 8 divisors (see below), whose sum is σ = 228960. Its totient is φ = 183280.

The previous prime is 205721. The next prime is 205759. The reversal of 205733 is 337502.

205733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205733 - 2⁸ = 205477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (28620).

2²⁰⁵⁷³³ is an apocalyptic number.

It is an amenable number.

205733 is a deficient number, since it is larger than the sum of its proper divisors (23227).

205733 is a wasteful number, since it uses less digits than its factorization.

205733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 205733 is about 453.5779977027. The cubic root of 205733 is about 59.0338788475.

Subtracting 205733 from its reverse (337502), we obtain a square (131769 = 363²).

The spelling of 205733 in words is "two hundred five thousand, seven hundred thirty-three".