205748 has 6 divisors (see below), whose sum is σ = 360066. Its totient is φ = 102872.

The previous prime is 205721. The next prime is 205759. The reversal of 205748 is 847502.

205748 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 only one way, i.e., 204304 + 1444 = 452^2 + 38^2 .

It is a congruent number.

It is an unprimeable number.

205748 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 as a sum of consecutive naturals, namely, 25715 + ... + 25722.

It is an arithmetic number, because the mean of its divisors is an integer number (60011).

2²⁰⁵⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

205748 is a deficient number, since it is larger than the sum of its proper divisors (154318).

205748 is a wasteful number, since it uses less digits than its factorization.

205748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51441 (or 51439 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 205748 is about 453.5945325949. The cubic root of 205748 is about 59.0353135334.

It can be divided in two parts, 20 and 5748, that multiplied together give a triangular number (114960 = T₄₇₉).

The spelling of 205748 in words is "two hundred five thousand, seven hundred forty-eight".