6771137 has 2 divisors, whose sum is σ = 6771138. Its totient is φ = 6771136.

The previous prime is 6771119. The next prime is 6771139. The reversal of 6771137 is 7311776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5340721 + 1430416 = 2311^2 + 1196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6771137 is a prime.

Together with 6771139, 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 (6771139) 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, 3385568 + 3385569.

It is an arithmetic number, because the mean of its divisors is an integer number (3385569).

Almost surely, 2^6771137 is an apocalyptic number.

It is an amenable number.

6771137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6771137 is an equidigital number, since it uses as much as digits as its factorization.

6771137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6174, while the sum is 32.

The square root of 6771137 is about 2602.1408493777. The cubic root of 6771137 is about 189.1852182401.

The spelling of 6771137 in words is "six million, seven hundred seventy-one thousand, one hundred thirty-seven".