209201 has 2 divisors, whose sum is σ = 209202. Its totient is φ = 209200.

The previous prime is 209189. The next prime is 209203. The reversal of 209201 is 102902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160801 + 48400 = 401^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 209201 - 2¹⁴ = 192817 is a prime.

Together with 209203, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209201.

It is not a weakly prime, because it can be changed into another prime (209203) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104600 + 104601.

It is an arithmetic number, because the mean of its divisors is an integer number (104601).

2²⁰⁹²⁰¹ is an apocalyptic number.

It is an amenable number.

209201 is a deficient number, since it is larger than the sum of its proper divisors (1).

209201 is an equidigital number, since it uses as much as digits as its factorization.

209201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 209201 is about 457.3849582135. The cubic root of 209201 is about 59.3637396929.

The spelling of 209201 in words is "two hundred nine thousand, two hundred one".