208816249 has 2 divisors, whose sum is σ = 208816250. Its totient is φ = 208816248.

The previous prime is 208816189. The next prime is 208816259. The reversal of 208816249 is 942618802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164660224 + 44156025 = 12832^2 + 6645^2 .

It is a cyclic number.

It is not a de Polignac number, because 208816249 - 2⁷ = 208816121 is a prime.

It is not a weakly prime, because it can be changed into another prime (208816259) 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, 104408124 + 104408125.

It is an arithmetic number, because the mean of its divisors is an integer number (104408125).

Almost surely, 2^208816249 is an apocalyptic number.

It is an amenable number.

208816249 is a deficient number, since it is larger than the sum of its proper divisors (1).

208816249 is an equidigital number, since it uses as much as digits as its factorization.

208816249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 208816249 is about 14450.4757361133. The cubic root of 208816249 is about 593.2732451529.

The spelling of 208816249 in words is "two hundred eight million, eight hundred sixteen thousand, two hundred forty-nine".