9164 has 12 divisors (see below), whose sum is σ = 16800. Its totient is φ = 4368.

The previous prime is 9161. The next prime is 9173. The reversal of 9164 is 4619.

9164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (9161) 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, 77 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

9164 is a deficient number, since it is larger than the sum of its proper divisors (7636).

9164 is a wasteful number, since it uses less digits than its factorization.

9164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 9164 is about 95.7287835502. The cubic root of 9164 is about 20.9264243047.

The spelling of 9164 in words is "nine thousand, one hundred sixty-four".