9667 has 4 divisors (see below), whose sum is σ = 11056. Its totient is φ = 8280.

The previous prime is 9661. The next prime is 9677. The reversal of 9667 is 7669.

9667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 9667 - 2⁷ = 9539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9661) 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 in 3 ways as a sum of consecutive naturals, for example, 684 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (2764).

2⁹⁶⁶⁷ is an apocalyptic number.

9667 is a deficient number, since it is larger than the sum of its proper divisors (1389).

9667 is a wasteful number, since it uses less digits than its factorization.

9667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388.

The product of its digits is 2268, while the sum is 28.

The square root of 9667 is about 98.3209031692. The cubic root of 9667 is about 21.3024999454.

Adding to 9667 its product of digits (2268), we get a triangular number (11935 = T₁₅₄).

It can be divided in two parts, 9 and 667, that added together give a palindrome (676).

The spelling of 9667 in words is "nine thousand, six hundred sixty-seven".