9216 has 33 divisors (see below), whose sum is σ = 26611. Its totient is φ = 3072.

The previous prime is 9209. The next prime is 9221. The reversal of 9216 is 6129.

9216 divided by its sum of digits (18) gives a 9-th power (512 = 2^{9}).

It can be divided in two parts, 9 and 216, that added together give a square (225 = 15^{2}).

9216 = T_{95} + T_{96}.

The square root of 9216 is 96.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)^{2} ⋅ (2!)^{4}.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a Duffinian number.

It is a nialpdrome in base 4, base 8 and base 12.

It is a zygodrome in base 8.

It is an unprimeable number.

9216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3071 + 3072 + 3073.

9216 is a Friedman number, since it can be written as (96*1)^2, using all its digits and the basic arithmetic operations.

2^{9216} is an apocalyptic number.

9216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9216 is the 96-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9216

9216 is an abundant number, since it is smaller than the sum of its proper divisors (17395).

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

9216 is a wasteful number, since it uses less digits than its factorization.

9216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 5 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The cubic root of 9216 is about 20.9659311537.

The spelling of 9216 in words is "nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216

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