205766 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 91080.

The previous prime is 205763. The next prime is 205783. The reversal of 205766 is 667502.

205766 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205763) 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, 935 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2²⁰⁵⁷⁶⁶ is an apocalyptic number.

205766 is a deficient number, since it is larger than the sum of its proper divisors (139834).

205766 is a wasteful number, since it uses less digits than its factorization.

205766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 205766 is about 453.6143736700. The cubic root of 205766 is about 59.0370350643.

The spelling of 205766 in words is "two hundred five thousand, seven hundred sixty-six".