8916 has 12 divisors (see below), whose sum is σ = 20832. Its totient is φ = 2968.

The previous prime is 8893. The next prime is 8923. The reversal of 8916 is 6198.

8916 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×8916³ = 2126333757888, which contains 333 as substring.

It is a plaindrome in base 14.

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 8916.

It is an unprimeable number.

8916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

8916 is an abundant number, since it is smaller than the sum of its proper divisors (11916).

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 (10416).

8916 is a wasteful number, since it uses less digits than its factorization.

8916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 748 counting only the distinct ones).

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

The square root of 8916 is about 94.4245730729. The cubic root of 8916 is about 20.7359221295.

It can be divided in two parts, 89 and 16, that added together give a triangular number (105 = T₁₄).

The spelling of 8916 in words is "eight thousand, nine hundred sixteen".