205265 has 8 divisors (see below), whose sum is σ = 250728. Its totient is φ = 161280.

The previous prime is 205253. The next prime is 205267. The reversal of 205265 is 562502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 961 + 204304 = 31^2 + 452^2 .

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

It is not a de Polignac number, because 205265 - 2⁶ = 205201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205267) 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, 32 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (31341).

2²⁰⁵²⁶⁵ is an apocalyptic number.

It is an amenable number.

205265 is a deficient number, since it is larger than the sum of its proper divisors (45463).

205265 is an equidigital number, since it uses as much as digits as its factorization.

205265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205265 is about 453.0618059382. The cubic root of 205265 is about 58.9890815763.

Adding to 205265 its reverse (562502), we get a palindrome (767767).

The spelling of 205265 in words is "two hundred five thousand, two hundred sixty-five".