205005 has 16 divisors (see below), whose sum is σ = 334080. Its totient is φ = 107328.

The previous prime is 204983. The next prime is 205019. The reversal of 205005 is 500502.

It is not a de Polignac number, because 205005 - 2⁵ = 204973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (20880).

2²⁰⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

205005 is a deficient number, since it is larger than the sum of its proper divisors (129075).

205005 is a wasteful number, since it uses less digits than its factorization.

205005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 205005 is about 452.7747784495. The cubic root of 205005 is about 58.9641647754.

Adding to 205005 its reverse (500502), we get a palindrome (705507).

The spelling of 205005 in words is "two hundred five thousand, five".