208697 has 2 divisors, whose sum is σ = 208698. Its totient is φ = 208696.

The previous prime is 208687. The next prime is 208699. The reversal of 208697 is 796802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116281 + 92416 = 341^2 + 304^2 .

It is a cyclic number.

It is not a de Polignac number, because 208697 - 2⁸ = 208441 is a prime.

Together with 208699, 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 208697.

It is not a weakly prime, because it can be changed into another prime (208699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104348 + 104349.

It is an arithmetic number, because the mean of its divisors is an integer number (104349).

2²⁰⁸⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

208697 is a deficient number, since it is larger than the sum of its proper divisors (1).

208697 is an equidigital number, since it uses as much as digits as its factorization.

208697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 208697 is about 456.8336677610. The cubic root of 208697 is about 59.3160289842.

The spelling of 208697 in words is "two hundred eight thousand, six hundred ninety-seven".