9767 has 2 divisors, whose sum is σ = 9768. Its totient is φ = 9766.

The previous prime is 9749. The next prime is 9769. The reversal of 9767 is 7679.

9767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 9767 - 2⁸ = 9511 is a prime.

Together with 9769, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9769) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4883 + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (4884).

2⁹⁷⁶⁷ is an apocalyptic number.

9767 is a deficient number, since it is larger than the sum of its proper divisors (1).

9767 is an equidigital number, since it uses as much as digits as its factorization.

9767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 29.

The square root of 9767 is about 98.8281336462. The cubic root of 9767 is about 21.3757024723.

It can be divided in two parts, 9 and 767, that multiplied together give a triangular number (6903 = T₁₁₇).

The spelling of 9767 in words is "nine thousand, seven hundred sixty-seven".