6761 has 2 divisors, whose sum is σ = 6762. Its totient is φ = 6760.

The previous prime is 6737. The next prime is 6763. The reversal of 6761 is 1676.

6761 is nontrivially palindromic in base 4 and base 8.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 361 = 80^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 6761 - 2¹⁰ = 5737 is a prime.

It is a super-2 number, since 2×6761² = 91422242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 6763, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

6761 is an undulating number in base 8.

It is a Curzon number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (6763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3380 + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (3381).

2⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

6761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6761 is an equidigital number, since it uses as much as digits as its factorization.

6761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 20.

The square root of 6761 is about 82.2253002427. The cubic root of 6761 is about 18.9090762002.

It can be divided in two parts, 67 and 61, that added together give a 7-th power (128 = 2⁷).

The spelling of 6761 in words is "six thousand, seven hundred sixty-one".