208849073 has 2 divisors, whose sum is σ = 208849074. Its totient is φ = 208849072.

The previous prime is 208849049. The next prime is 208849079. The reversal of 208849073 is 370948802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190633249 + 18215824 = 13807^2 + 4268^2 .

It is a cyclic number.

It is not a de Polignac number, because 208849073 - 2⁶ = 208849009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 208849073.

It is not a weakly prime, because it can be changed into another prime (208849079) 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, 104424536 + 104424537.

It is an arithmetic number, because the mean of its divisors is an integer number (104424537).

Almost surely, 2^208849073 is an apocalyptic number.

It is an amenable number.

208849073 is a deficient number, since it is larger than the sum of its proper divisors (1).

208849073 is an equidigital number, since it uses as much as digits as its factorization.

208849073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 208849073 is about 14451.6114326396. The cubic root of 208849073 is about 593.3043292293.

The spelling of 208849073 in words is "two hundred eight million, eight hundred forty-nine thousand, seventy-three".