209085201 has 24 divisors (see below), whose sum is σ = 325881920. Its totient is φ = 128415456.

The previous prime is 209085179. The next prime is 209085209. The reversal of 209085201 is 102580902.

It is not a de Polignac number, because 209085201 - 2⁷ = 209085073 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (209085209) 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 23 ways as a sum of consecutive naturals, for example, 70980 + ... + 73866.

Almost surely, 2^209085201 is an apocalyptic number.

It is an amenable number.

209085201 is a deficient number, since it is larger than the sum of its proper divisors (116796719).

209085201 is a wasteful number, since it uses less digits than its factorization.

209085201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 209085201 is about 14459.7787327469. The cubic root of 209085201 is about 593.5278447049.

The spelling of 209085201 in words is "two hundred nine million, eighty-five thousand, two hundred one".