205734 has 16 divisors (see below), whose sum is σ = 435888. Its totient is φ = 64512.

The previous prime is 205721. The next prime is 205759. The reversal of 205734 is 437502.

205734 = T₁₄₇ + T₁₄₈ + ... + T₁₆₃.

It is a happy number.

205734 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 self number, because there is not a number n which added to its sum of digits gives 205734.

It is a congruent number.

It is an unprimeable number.

205734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (27243).

2²⁰⁵⁷³⁴ is an apocalyptic number.

205734 is an abundant number, since it is smaller than the sum of its proper divisors (230154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205734 is a wasteful number, since it uses less digits than its factorization.

205734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 205734 is about 453.5791000476. The cubic root of 205734 is about 59.0339744954.

It can be divided in two parts, 205 and 734, that added together give a palindrome (939).

The spelling of 205734 in words is "two hundred five thousand, seven hundred thirty-four".