205253 has 2 divisors, whose sum is σ = 205254. Its totient is φ = 205252.

The previous prime is 205237. The next prime is 205267. The reversal of 205253 is 352502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146689 + 58564 = 383^2 + 242^2 .

It is a cyclic number.

It is not a de Polignac number, because 205253 - 2⁴ = 205237 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₁₈₄₀₄ and since 205253 and 18404 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102626 + 102627.

It is an arithmetic number, because the mean of its divisors is an integer number (102627).

2²⁰⁵²⁵³ is an apocalyptic number.

It is an amenable number.

205253 is a deficient number, since it is larger than the sum of its proper divisors (1).

205253 is an equidigital number, since it uses as much as digits as its factorization.

205253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 205253 is about 453.0485625184. The cubic root of 205253 is about 58.9879320333.

Adding to 205253 its reverse (352502), we get a palindrome (557755).

The spelling of 205253 in words is "two hundred five thousand, two hundred fifty-three".