200009 has 2 divisors, whose sum is σ = 200010. Its totient is φ = 200008.

The previous prime is 200003. The next prime is 200017. The reversal of 200009 is 900002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 73984 = 355^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 200009 - 2⁸ = 199753 is a prime.

It is a Chen prime.

200009 is a modest number, since divided by 9 gives 2 as remainder.

It is not a weakly prime, because it can be changed into another prime (200003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100004 + 100005.

It is an arithmetic number, because the mean of its divisors is an integer number (100005).

2²⁰⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

200009 is an equidigital number, since it uses as much as digits as its factorization.

200009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 200009 is about 447.2236576927. The cubic root of 200009 is about 58.4812319564.

Subtracting from 200009 its product of nonzero digits (18), we obtain a palindrome (199991).

Adding to 200009 its reverse (900002), we get a palindrome (1100011).

The spelling of 200009 in words is "two hundred thousand, nine".