9813216 has 96 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 2635776.

The previous prime is 9813211. The next prime is 9813217. The reversal of 9813216 is 6123189.

9813216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9813211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10995 + ... + 11853.

It is an arithmetic number, because the mean of its divisors is an integer number (325080).

Almost surely, 2^9813216 is an apocalyptic number.

9813216 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 9813216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

9813216 is an abundant number, since it is smaller than the sum of its proper divisors (21394464).

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

9813216 is a wasteful number, since it uses less digits than its factorization.

9813216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 9813216 is about 3132.6053054925. The cubic root of 9813216 is about 214.0936498722.

The spelling of 9813216 in words is "nine million, eight hundred thirteen thousand, two hundred sixteen".