205166 has 12 divisors (see below), whose sum is σ = 333792. Its totient is φ = 94536.

The previous prime is 205157. The next prime is 205171. The reversal of 205166 is 661502.

205166 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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205166.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (27816).

2²⁰⁵¹⁶⁶ is an apocalyptic number.

205166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205166 is a deficient number, since it is larger than the sum of its proper divisors (128626).

205166 is a wasteful number, since it uses less digits than its factorization.

205166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 205166 is about 452.9525361448. The cubic root of 205166 is about 58.9795965070.

Adding to 205166 its reverse (661502), we get a palindrome (866668).

The spelling of 205166 in words is "two hundred five thousand, one hundred sixty-six".