208009 has 2 divisors, whose sum is σ = 208010. Its totient is φ = 208008.

The previous prime is 208003. The next prime is 208037. The reversal of 208009 is 900802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156025 + 51984 = 395^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 208009 - 2³ = 208001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104004 + 104005.

It is an arithmetic number, because the mean of its divisors is an integer number (104005).

2²⁰⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

208009 is a deficient number, since it is larger than the sum of its proper divisors (1).

208009 is an equidigital number, since it uses as much as digits as its factorization.

208009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 208009 is about 456.0800368356. The cubic root of 208009 is about 59.2507759220.

The spelling of 208009 in words is "two hundred eight thousand, nine".