2004205 has 16 divisors (see below), whose sum is σ = 2772864. Its totient is φ = 1362240.

The previous prime is 2004137. The next prime is 2004209. The reversal of 2004205 is 5024002.

It is a happy number.

It is not a de Polignac number, because 2004205 - 2¹¹ = 2002157 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 (2004209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5890 + ... + 6220.

It is an arithmetic number, because the mean of its divisors is an integer number (173304).

2^2004205 is an apocalyptic number.

It is an amenable number.

2004205 is a deficient number, since it is larger than the sum of its proper divisors (768659).

2004205 is a wasteful number, since it uses less digits than its factorization.

2004205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2004205 is about 1415.6994737585. The cubic root of 2004205 is about 126.0803426454.

Adding to 2004205 its reverse (5024002), we get a palindrome (7028207).

It can be divided in two parts, 2004 and 205, that added together give a square (2209 = 47²).

The spelling of 2004205 in words is "two million, four thousand, two hundred five".