208268217 has 12 divisors (see below), whose sum is σ = 306508644. Its totient is φ = 136225440.

The previous prime is 208268143. The next prime is 208268219. The reversal of 208268217 is 712862802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69405561 + 138862656 = 8331^2 + 11784^2 .

It is not a de Polignac number, because 208268217 - 2⁷ = 208268089 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (208268219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217834 + ... + 218787.

It is an arithmetic number, because the mean of its divisors is an integer number (25542387).

Almost surely, 2^208268217 is an apocalyptic number.

It is an amenable number.

208268217 is a deficient number, since it is larger than the sum of its proper divisors (98240427).

208268217 is a wasteful number, since it uses less digits than its factorization.

208268217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436680 (or 436677 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 208268217 is about 14431.5008574992. The cubic root of 208268217 is about 592.7537811523.

The spelling of 208268217 in words is "two hundred eight million, two hundred sixty-eight thousand, two hundred seventeen".