205065 has 48 divisors (see below), whose sum is σ = 437760. Its totient is φ = 90720.

The previous prime is 205063. The next prime is 205069. The reversal of 205065 is 560502.

It is not a de Polignac number, because 205065 - 2¹ = 205063 is a prime.

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 205065.

It is not an unprimeable number, because it can be changed into a prime (205063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6600 + ... + 6630.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2²⁰⁵⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

205065 is an abundant number, since it is smaller than the sum of its proper divisors (232695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205065 is a wasteful number, since it uses less digits than its factorization.

205065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205065 is about 452.8410317098. The cubic root of 205065 is about 58.9699166754.

Adding to 205065 its reverse (560502), we get a palindrome (765567).

The spelling of 205065 in words is "two hundred five thousand, sixty-five".