9108 has 36 divisors (see below), whose sum is σ = 26208. Its totient is φ = 2640.

The previous prime is 9103. The next prime is 9109. The reversal of 9108 is 8019.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

2⁹¹⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

9108 is an abundant number, since it is smaller than the sum of its proper divisors (17100).

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

9108 is a wasteful number, since it uses less digits than its factorization.

9108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9108 is about 95.4358423235. The cubic root of 9108 is about 20.8837109712.

Adding to 9108 its product of nonzero digits (72), we get a triangular number (9180 = T₁₃₅).

Subtracting from 9108 its reverse (8019), we obtain a square (1089 = 33²).

The spelling of 9108 in words is "nine thousand, one hundred eight".