208889 has 2 divisors, whose sum is σ = 208890. Its totient is φ = 208888.

The previous prime is 208877. The next prime is 208891. The reversal of 208889 is 988802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 55225 = 392^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 208889 - 2¹² = 204793 is a prime.

It is a super-2 number, since 2×208889² = 87269228642, which contains 22 as substring.

Together with 208891, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (208189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104444 + 104445.

It is an arithmetic number, because the mean of its divisors is an integer number (104445).

2²⁰⁸⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

208889 is a deficient number, since it is larger than the sum of its proper divisors (1).

208889 is an equidigital number, since it uses as much as digits as its factorization.

208889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 208889 is about 457.0437615809. The cubic root of 208889 is about 59.3342135402.

The spelling of 208889 in words is "two hundred eight thousand, eight hundred eighty-nine".