205838001 has 12 divisors (see below), whose sum is σ = 312970320. Its totient is φ = 130002840.

The previous prime is 205837967. The next prime is 205838029. The reversal of 205838001 is 100838502.

It is a happy number.

205838001 is a `hidden beast` number, since 2 + 0 + 583 + 80 + 0 + 1 = 666.

It is not a de Polignac number, because 205838001 - 2⁶ = 205837937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205838071) 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 11 ways as a sum of consecutive naturals, for example, 601695 + ... + 602036.

It is an arithmetic number, because the mean of its divisors is an integer number (26080860).

Almost surely, 2^205838001 is an apocalyptic number.

It is an amenable number.

205838001 is a deficient number, since it is larger than the sum of its proper divisors (107132319).

205838001 is a wasteful number, since it uses less digits than its factorization.

205838001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203756 (or 1203753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 205838001 is about 14347.0554818750. The cubic root of 205838001 is about 590.4392027998.

The spelling of 205838001 in words is "two hundred five million, eight hundred thirty-eight thousand, one".