9306 has 24 divisors (see below), whose sum is σ = 22464. Its totient is φ = 2760.

The previous prime is 9293. The next prime is 9311. The reversal of 9306 is 6039.

9306 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (936).

2⁹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232).

9306 is an abundant number, since it is smaller than the sum of its proper divisors (13158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9306 is a wasteful number, since it uses less digits than its factorization.

9306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 9306 is about 96.4676111449. The cubic root of 9306 is about 21.0339586620.

The spelling of 9306 in words is "nine thousand, three hundred six".