208638113 has 2 divisors, whose sum is σ = 208638114. Its totient is φ = 208638112.

The previous prime is 208638103. The next prime is 208638119. The reversal of 208638113 is 311836802.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116035984 + 92602129 = 10772^2 + 9623^2 .

It is a cyclic number.

It is not a de Polignac number, because 208638113 - 2¹⁸ = 208375969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 208638113.

It is not a weakly prime, because it can be changed into another prime (208638119) 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, 104319056 + 104319057.

It is an arithmetic number, because the mean of its divisors is an integer number (104319057).

Almost surely, 2^208638113 is an apocalyptic number.

It is an amenable number.

208638113 is a deficient number, since it is larger than the sum of its proper divisors (1).

208638113 is an equidigital number, since it uses as much as digits as its factorization.

208638113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 208638113 is about 14444.3107485266. The cubic root of 208638113 is about 593.1044948928.

The spelling of 208638113 in words is "two hundred eight million, six hundred thirty-eight thousand, one hundred thirteen".