205165 has 8 divisors (see below), whose sum is σ = 253080. Its totient is φ = 159552.

The previous prime is 205157. The next prime is 205171. The reversal of 205165 is 561502.

It is a happy number.

205165 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 4 ways, for example, as 9801 + 195364 = 99^2 + 442^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205165 - 2³ = 205157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (31635).

2²⁰⁵¹⁶⁵ is an apocalyptic number.

205165 is the 370-th pentagonal number.

It is an amenable number.

205165 is a deficient number, since it is larger than the sum of its proper divisors (47915).

205165 is a wasteful number, since it uses less digits than its factorization.

205165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 205165 is about 452.9514322750. The cubic root of 205165 is about 58.9795006827.

Adding to 205165 its reverse (561502), we get a palindrome (766667).

It can be divided in two parts, 2051 and 65, that added together give a square (2116 = 46²).

The spelling of 205165 in words is "two hundred five thousand, one hundred sixty-five".