205173 has 20 divisors (see below), whose sum is σ = 326700. Its totient is φ = 127872.

The previous prime is 205171. The next prime is 205187. The reversal of 205173 is 371502.

205173 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 2 ways, for example, as 88209 + 116964 = 297^2 + 342^2 .

It is not a de Polignac number, because 205173 - 2¹ = 205171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1303 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2²⁰⁵¹⁷³ is an apocalyptic number.

It is an amenable number.

205173 is a deficient number, since it is larger than the sum of its proper divisors (121527).

205173 is a wasteful number, since it uses less digits than its factorization.

205173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 205173 is about 452.9602631578. The cubic root of 205173 is about 58.9802672687.

Adding to 205173 its reverse (371502), we get a palindrome (576675).

It can be divided in two parts, 205 and 173, that added together give a triangular number (378 = T₂₇).

The spelling of 205173 in words is "two hundred five thousand, one hundred seventy-three".