205005907 has 12 divisors (see below), whose sum is σ = 218819776. Its totient is φ = 192021120.

The previous prime is 205005881. The next prime is 205005919. The reversal of 205005907 is 709500502.

It is not a de Polignac number, because 205005907 - 2¹⁹ = 204481619 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205005967) 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, 62857 + ... + 66037.

Almost surely, 2^205005907 is an apocalyptic number.

205005907 is a deficient number, since it is larger than the sum of its proper divisors (13813869).

205005907 is a wasteful number, since it uses less digits than its factorization.

205005907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 205005907 is about 14318.0273431782. The cubic root of 205005907 is about 589.6425173327.

The spelling of 205005907 in words is "two hundred five million, five thousand, nine hundred seven".