208005349 has 2 divisors, whose sum is σ = 208005350. Its totient is φ = 208005348.

The previous prime is 208005311. The next prime is 208005373. The reversal of 208005349 is 943500802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177369124 + 30636225 = 13318^2 + 5535^2 .

It is a cyclic number.

It is not a de Polignac number, because 208005349 - 2¹³ = 207997157 is a prime.

It is a super-2 number, since 2×208005349² = 86532450425223602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 208005349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208005649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104002674 + 104002675.

It is an arithmetic number, because the mean of its divisors is an integer number (104002675).

Almost surely, 2^208005349 is an apocalyptic number.

It is an amenable number.

208005349 is a deficient number, since it is larger than the sum of its proper divisors (1).

208005349 is an equidigital number, since it uses as much as digits as its factorization.

208005349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 208005349 is about 14422.3905438731. The cubic root of 208005349 is about 592.5042926096.

The spelling of 208005349 in words is "two hundred eight million, five thousand, three hundred forty-nine".