208993 has 2 divisors, whose sum is σ = 208994. Its totient is φ = 208992.

The previous prime is 208991. The next prime is 208997. The reversal of 208993 is 399802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 144 = 457^2 + 12^2 .

It is a cyclic number.

It is not a de Polignac number, because 208993 - 2¹ = 208991 is a prime.

Together with 208991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (208991) 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, 104496 + 104497.

It is an arithmetic number, because the mean of its divisors is an integer number (104497).

2²⁰⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

208993 is a deficient number, since it is larger than the sum of its proper divisors (1).

208993 is an equidigital number, since it uses as much as digits as its factorization.

208993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 208993 is about 457.1575220862. The cubic root of 208993 is about 59.3440588559.

It can be divided in two parts, 20899 and 3, that added together give a palindrome (20902).

The spelling of 208993 in words is "two hundred eight thousand, nine hundred ninety-three".