9816 has 16 divisors (see below), whose sum is σ = 24600. Its totient is φ = 3264.

The previous prime is 9811. The next prime is 9817. The reversal of 9816 is 6189.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 409 = 9816 / (9 + 8 + 1 + 6).

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

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 9816.

It is not an unprimeable number, because it can be changed into a prime (9811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181 + ... + 228.

2⁹⁸¹⁶ is an apocalyptic number.

It is an amenable number.

9816 is an abundant number, since it is smaller than the sum of its proper divisors (14784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300).

9816 is a wasteful number, since it uses less digits than its factorization.

9816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 9816 is about 99.0757286120. The cubic root of 9816 is about 21.4113894013.

It can be divided in two parts, 981 and 6, that multiplied together give a triangular number (5886 = T₁₀₈).

The spelling of 9816 in words is "nine thousand, eight hundred sixteen".