205233 has 16 divisors (see below), whose sum is σ = 324480. Its totient is φ = 112896.

The previous prime is 205223. The next prime is 205237. The reversal of 205233 is 332502.

It is not a de Polignac number, because 205233 - 2⁵ = 205201 is a prime.

205233 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205237) 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, 441 + ... + 777.

It is an arithmetic number, because the mean of its divisors is an integer number (20280).

2²⁰⁵²³³ is an apocalyptic number.

It is an amenable number.

205233 is a deficient number, since it is larger than the sum of its proper divisors (119247).

205233 is a wasteful number, since it uses less digits than its factorization.

205233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 205233 is about 453.0264892917. The cubic root of 205233 is about 58.9860160289.

Adding to 205233 its reverse (332502), we get a palindrome (537735).

It can be divided in two parts, 20 and 5233, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 205233 in words is "two hundred five thousand, two hundred thirty-three".