208001 has 2 divisors, whose sum is σ = 208002. Its totient is φ = 208000.

The previous prime is 207997. The next prime is 208003. The reversal of 208001 is 100802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201601 + 6400 = 449^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 208001 - 2² = 207997 is a prime.

Together with 208003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104000 + 104001.

It is an arithmetic number, because the mean of its divisors is an integer number (104001).

2²⁰⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

208001 is a deficient number, since it is larger than the sum of its proper divisors (1).

208001 is an equidigital number, since it uses as much as digits as its factorization.

208001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 208001 is about 456.0712663609. The cubic root of 208001 is about 59.2500163198.

Adding to 208001 its reverse (100802), we get a palindrome (308803).

The spelling of 208001 in words is "two hundred eight thousand, one".