4000205 has 16 divisors (see below), whose sum is σ = 5275584. Its totient is φ = 2887680.

The previous prime is 4000189. The next prime is 4000237. The reversal of 4000205 is 5020004.

It is not a de Polignac number, because 4000205 - 2⁴ = 4000189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a Duffinian number.

4000205 is a modest number, since divided by 205 gives 40 as remainder.

It is a Curzon number.

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, 13994 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (329724).

Almost surely, 2^4000205 is an apocalyptic number.

It is an amenable number.

4000205 is a deficient number, since it is larger than the sum of its proper divisors (1275379).

4000205 is a wasteful number, since it uses less digits than its factorization.

4000205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4000205 is about 2000.0512493434. The cubic root of 4000205 is about 158.7428169606.

Adding to 4000205 its reverse (5020004), we get a palindrome (9020209).

The spelling of 4000205 in words is "four million, two hundred five", and thus it is an aban number.