208824881 has 2 divisors, whose sum is σ = 208824882. Its totient is φ = 208824880.

The previous prime is 208824857. The next prime is 208824907. The reversal of 208824881 is 188428802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161696656 + 47128225 = 12716^2 + 6865^2 .

It is a cyclic number.

It is not a de Polignac number, because 208824881 - 2⁶ = 208824817 is a prime.

It is a super-3 number, since 3×208824881³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208820881) 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, 104412440 + 104412441.

It is an arithmetic number, because the mean of its divisors is an integer number (104412441).

Almost surely, 2^208824881 is an apocalyptic number.

It is an amenable number.

208824881 is a deficient number, since it is larger than the sum of its proper divisors (1).

208824881 is an equidigital number, since it uses as much as digits as its factorization.

208824881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 208824881 is about 14450.7744083146. The cubic root of 208824881 is about 593.2814199064.

The spelling of 208824881 in words is "two hundred eight million, eight hundred twenty-four thousand, eight hundred eighty-one".