208800041 has 2 divisors, whose sum is σ = 208800042. Its totient is φ = 208800040.

The previous prime is 208800037. The next prime is 208800043. The reversal of 208800041 is 140008802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189475225 + 19324816 = 13765^2 + 4396^2 .

It is a cyclic number.

It is not a de Polignac number, because 208800041 - 2² = 208800037 is a prime.

Together with 208800043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (208800043) 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 as a sum of consecutive naturals, namely, 104400020 + 104400021.

It is an arithmetic number, because the mean of its divisors is an integer number (104400021).

Almost surely, 2^208800041 is an apocalyptic number.

It is an amenable number.

208800041 is a deficient number, since it is larger than the sum of its proper divisors (1).

208800041 is an equidigital number, since it uses as much as digits as its factorization.

208800041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 208800041 is about 14449.9149132443. The cubic root of 208800041 is about 593.2578950997.

Adding to 208800041 its reverse (140008802), we get a palindrome (348808843).

The spelling of 208800041 in words is "two hundred eight million, eight hundred thousand, forty-one".