6767 has 4 divisors (see below), whose sum is σ = 6936. Its totient is φ = 6600.

The previous prime is 6763. The next prime is 6779. The reversal of 6767 is 7676.

6767 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

6767 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6767 - 2² = 6763 is a prime.

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

It is a Duffinian number.

6767 is an undulating number in base 10.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (1734).

2⁶⁷⁶⁷ is an apocalyptic number.

6767 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

6767 is a deficient number, since it is larger than the sum of its proper divisors (169).

6767 is a wasteful number, since it uses less digits than its factorization.

6767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 1764, while the sum is 26.

The square root of 6767 is about 82.2617772723. The cubic root of 6767 is about 18.9146681202.

Subtracting 6767 from its reverse (7676), we obtain a palindrome (909).

The spelling of 6767 in words is "six thousand, seven hundred sixty-seven".