205780201 has 16 divisors (see below), whose sum is σ = 239731200. Its totient is φ = 174787200.

The previous prime is 205780181. The next prime is 205780207. The reversal of 205780201 is 102087502.

It is a cyclic number.

It is not a de Polignac number, because 205780201 - 2¹³ = 205772009 is a prime.

It is a super-2 number, since 2×205780201² = 84690982247200802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205780207) 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, 516 + ... + 20293.

It is an arithmetic number, because the mean of its divisors is an integer number (14983200).

Almost surely, 2^205780201 is an apocalyptic number.

It is an amenable number.

205780201 is a deficient number, since it is larger than the sum of its proper divisors (33950999).

205780201 is a wasteful number, since it uses less digits than its factorization.

205780201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 205780201 is about 14345.0409898334. The cubic root of 205780201 is about 590.3839318576.

The spelling of 205780201 in words is "two hundred five million, seven hundred eighty thousand, two hundred one".