205263 has 6 divisors (see below), whose sum is σ = 296504. Its totient is φ = 136836.

The previous prime is 205253. The next prime is 205267. The reversal of 205263 is 362502.

It is not a de Polignac number, because 205263 - 2⁹ = 204751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205263.

It is not an unprimeable number, because it can be changed into a prime (205267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11395 + ... + 11412.

2²⁰⁵²⁶³ is an apocalyptic number.

205263 is a deficient number, since it is larger than the sum of its proper divisors (91241).

205263 is a wasteful number, since it uses less digits than its factorization.

205263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22813 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205263 is about 453.0595987285. The cubic root of 205263 is about 58.9888899889.

Adding to 205263 its reverse (362502), we get a palindrome (567765).

The spelling of 205263 in words is "two hundred five thousand, two hundred sixty-three".