208297216 has 36 divisors (see below), whose sum is σ = 417350052. Its totient is φ = 103755776.

The previous prime is 208297207. The next prime is 208297217. The reversal of 208297216 is 612792802.

It can be written as a sum of positive squares in 2 ways, for example, as 121881600 + 86415616 = 11040^2 + 9296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208297217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73620 + ... + 76396.

It is an arithmetic number, because the mean of its divisors is an integer number (11593057).

Almost surely, 2^208297216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208675026).

208297216 is an abundant number, since it is smaller than the sum of its proper divisors (209052836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208297216 is an equidigital number, since it uses as much as digits as its factorization.

208297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 208297216 is about 14432.5055343831. The cubic root of 208297216 is about 592.7812913015.

The spelling of 208297216 in words is "two hundred eight million, two hundred ninety-seven thousand, two hundred sixteen".