205738 has 16 divisors (see below), whose sum is σ = 342216. Its totient is φ = 92160.

The previous prime is 205721. The next prime is 205759. The reversal of 205738 is 837502.

205738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59049 + 146689 = 243^2 + 383^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970 + ... + 1162.

2²⁰⁵⁷³⁸ is an apocalyptic number.

205738 is a deficient number, since it is larger than the sum of its proper divisors (136478).

205738 is a wasteful number, since it uses less digits than its factorization.

205738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 205738 is about 453.5835094004. The cubic root of 205738 is about 59.0343570839.

The spelling of 205738 in words is "two hundred five thousand, seven hundred thirty-eight".