205205 has 32 divisors (see below), whose sum is σ = 338688. Its totient is φ = 115200.

The previous prime is 205201. The next prime is 205211. The reversal of 205205 is 502502.

It is not a de Polignac number, because 205205 - 2² = 205201 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4985 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2²⁰⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

205205 is a deficient number, since it is larger than the sum of its proper divisors (133483).

205205 is a wasteful number, since it uses less digits than its factorization.

205205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 205205 is about 452.9955849674. The cubic root of 205205 is about 58.9833334136.

Adding to 205205 its reverse (502502), we get a palindrome (707707).

It can be divided in two parts, 20 and 5205, that added together give a palindrome (5225).

The spelling of 205205 in words is "two hundred five thousand, two hundred five".