205238 has 16 divisors (see below), whose sum is σ = 354240. Its totient is φ = 88200.

The previous prime is 205237. The next prime is 205253. The reversal of 205238 is 832502.

205238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a Curzon 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 7 ways as a sum of consecutive naturals, for example, 173 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2²⁰⁵²³⁸ is an apocalyptic number.

205238 is a deficient number, since it is larger than the sum of its proper divisors (149002).

205238 is a wasteful number, since it uses less digits than its factorization.

205238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 205238 is about 453.0320076992. The cubic root of 205238 is about 58.9864950417.

Subtracting 205238 from its reverse (832502), we obtain a square (627264 = 792²).

The spelling of 205238 in words is "two hundred five thousand, two hundred thirty-eight".