205566201 has 16 divisors (see below), whose sum is σ = 305881600. Its totient is φ = 136441584.

The previous prime is 205566199. The next prime is 205566217. The reversal of 205566201 is 102665502.

It is not a de Polignac number, because 205566201 - 2¹ = 205566199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205566271) 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, 10441 + ... + 22806.

It is an arithmetic number, because the mean of its divisors is an integer number (19117600).

Almost surely, 2^205566201 is an apocalyptic number.

It is an amenable number.

205566201 is a deficient number, since it is larger than the sum of its proper divisors (100315399).

205566201 is a wasteful number, since it uses less digits than its factorization.

205566201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33485 (or 33479 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 205566201 is about 14337.5800259319. The cubic root of 205566201 is about 590.1792053543.

The spelling of 205566201 in words is "two hundred five million, five hundred sixty-six thousand, two hundred one".