9114 has 24 divisors (see below), whose sum is σ = 21888. Its totient is φ = 2520.

The previous prime is 9109. The next prime is 9127. The reversal of 9114 is 4119.

9114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9114 is an undulating number in base 5.

It is a Curzon number.

It is a plaindrome in base 9 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9093 and 9102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

2⁹¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944).

9114 is an abundant number, since it is smaller than the sum of its proper divisors (12774).

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

9114 is a wasteful number, since it uses less digits than its factorization.

9114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 43 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 9114 is about 95.4672718789. The cubic root of 9114 is about 20.8882957597. Note that the first 3 decimals are identical.

It can be divided in two parts, 91 and 14, that added together give a triangular number (105 = T₁₄).

The spelling of 9114 in words is "nine thousand, one hundred fourteen".