205046947 has 16 divisors (see below), whose sum is σ = 239956992. Its totient is φ = 171561600.

The previous prime is 205046921. The next prime is 205046971. The reversal of 205046947 is 749640502.

It is not a de Polignac number, because 205046947 - 2¹⁵ = 205014179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205046987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194572 + ... + 195622.

It is an arithmetic number, because the mean of its divisors is an integer number (14997312).

Almost surely, 2^205046947 is an apocalyptic number.

205046947 is a deficient number, since it is larger than the sum of its proper divisors (34910045).

205046947 is a wasteful number, since it uses less digits than its factorization.

205046947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 205046947 is about 14319.4604297788. The cubic root of 205046947 is about 589.6818614255.

The spelling of 205046947 in words is "two hundred five million, forty-six thousand, nine hundred forty-seven".