9309216 has 72 divisors (see below), whose sum is σ = 28440720. Its totient is φ = 2658432.

The previous prime is 9309211. The next prime is 9309241. The reversal of 9309216 is 6129039.

It is not an unprimeable number, because it can be changed into a prime (9309211) 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 11 ways as a sum of consecutive naturals, for example, 3715 + ... + 5693.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^9309216 is an apocalyptic number.

9309216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220360).

9309216 is an abundant number, since it is smaller than the sum of its proper divisors (19131504).

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

9309216 is a wasteful number, since it uses less digits than its factorization.

9309216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9309216 is about 3051.1007849627. The cubic root of 9309216 is about 210.3638137925.

The spelling of 9309216 in words is "nine million, three hundred nine thousand, two hundred sixteen".