208823137 has 2 divisors, whose sum is σ = 208823138. Its totient is φ = 208823136.

The previous prime is 208823119. The next prime is 208823159. The reversal of 208823137 is 731328802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207475216 + 1347921 = 14404^2 + 1161^2 .

It is a cyclic number.

It is not a de Polignac number, because 208823137 - 2⁷ = 208823009 is a prime.

It is not a weakly prime, because it can be changed into another prime (208823117) 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, 104411568 + 104411569.

It is an arithmetic number, because the mean of its divisors is an integer number (104411569).

Almost surely, 2^208823137 is an apocalyptic number.

It is an amenable number.

208823137 is a deficient number, since it is larger than the sum of its proper divisors (1).

208823137 is an equidigital number, since it uses as much as digits as its factorization.

208823137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 208823137 is about 14450.7140654018. The cubic root of 208823137 is about 593.2797683061.

The spelling of 208823137 in words is "two hundred eight million, eight hundred twenty-three thousand, one hundred thirty-seven".