2000205 has 12 divisors (see below), whose sum is σ = 3467100. Its totient is φ = 1066752.

The previous prime is 2000177. The next prime is 2000209. The reversal of 2000205 is 5020002.

It can be written as a sum of positive squares in 2 ways, for example, as 1258884 + 741321 = 1122^2 + 861^2 .

It is not a de Polignac number, because 2000205 - 2¹² = 1996109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

2000205 is a modest number, since divided by 205 gives 20 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22180 + ... + 22269.

It is an arithmetic number, because the mean of its divisors is an integer number (288925).

2^2000205 is an apocalyptic number.

It is an amenable number.

2000205 is a deficient number, since it is larger than the sum of its proper divisors (1466895).

2000205 is a wasteful number, since it uses less digits than its factorization.

2000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44460 (or 44457 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2000205 is about 1414.2860389610. The cubic root of 2000205 is about 125.9964095727.

Adding to 2000205 its reverse (5020002), we get a palindrome (7020207).

The spelling of 2000205 in words is "two million, two hundred five", and thus it is an aban number.