8200441 has 2 divisors, whose sum is σ = 8200442. Its totient is φ = 8200440.

The previous prime is 8200433. The next prime is 8200447. The reversal of 8200441 is 1440028.

8200441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 163216 = 2835^2 + 404^2 .

It is a cyclic number.

It is not a de Polignac number, because 8200441 - 2³ = 8200433 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8200447) 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, 4100220 + 4100221.

It is an arithmetic number, because the mean of its divisors is an integer number (4100221).

Almost surely, 2^8200441 is an apocalyptic number.

It is an amenable number.

8200441 is a deficient number, since it is larger than the sum of its proper divisors (1).

8200441 is an equidigital number, since it uses as much as digits as its factorization.

8200441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8200441 is about 2863.6412135601. The cubic root of 8200441 is about 201.6565824553.

Adding to 8200441 its reverse (1440028), we get a palindrome (9640469).

The spelling of 8200441 in words is "eight million, two hundred thousand, four hundred forty-one".