9309 has 8 divisors (see below), whose sum is σ = 12960. Its totient is φ = 5936.

The previous prime is 9293. The next prime is 9311. The reversal of 9309 is 9039.

9309 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9309 - 2⁴ = 9293 is a prime.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9309.

It is not an unprimeable number, because it can be changed into a prime (9319) 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 7 ways as a sum of consecutive naturals, for example, 34 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2⁹³⁰⁹ is an apocalyptic number.

It is an amenable number.

9309 is a deficient number, since it is larger than the sum of its proper divisors (3651).

9309 is a wasteful number, since it uses less digits than its factorization.

9309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 9309 is about 96.4831591523. The cubic root of 9309 is about 21.0362186769.

It can be divided in two parts, 930 and 9, that added together give a palindrome (939).

The spelling of 9309 in words is "nine thousand, three hundred nine".