205533 has 12 divisors (see below), whose sum is σ = 304668. Its totient is φ = 133440.

The previous prime is 205529. The next prime is 205537. The reversal of 205533 is 335502.

It is an interprime number because it is at equal distance from previous prime (205529) and next prime (205537).

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 191844 = 117^2 + 438^2 .

It is not a de Polignac number, because 205533 - 2² = 205529 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2²⁰⁵⁵³³ is an apocalyptic number.

It is an amenable number.

205533 is a deficient number, since it is larger than the sum of its proper divisors (99135).

205533 is a wasteful number, since it uses less digits than its factorization.

205533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 205533 is about 453.3574748474. The cubic root of 205533 is about 59.0147430360.

The spelling of 205533 in words is "two hundred five thousand, five hundred thirty-three".