6838201 has 2 divisors, whose sum is σ = 6838202. Its totient is φ = 6838200.

The previous prime is 6838193. The next prime is 6838207. The reversal of 6838201 is 1028386.

6838201 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., 4515625 + 2322576 = 2125^2 + 1524^2 .

It is a cyclic number.

It is not a de Polignac number, because 6838201 - 2³ = 6838193 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6838201.

It is not a weakly prime, because it can be changed into another prime (6838207) 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, 3419100 + 3419101.

It is an arithmetic number, because the mean of its divisors is an integer number (3419101).

Almost surely, 2^6838201 is an apocalyptic number.

It is an amenable number.

6838201 is a deficient number, since it is larger than the sum of its proper divisors (1).

6838201 is an equidigital number, since it uses as much as digits as its factorization.

6838201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6838201 is about 2614.9954110858. The cubic root of 6838201 is about 189.8077556890.

It can be divided in two parts, 6 and 838201, that multiplied together give a triangular number (5029206 = T₃₁₇₁).

The spelling of 6838201 in words is "six million, eight hundred thirty-eight thousand, two hundred one".