9135 has 24 divisors (see below), whose sum is σ = 18720. Its totient is φ = 4032.

The previous prime is 9133. The next prime is 9137. The reversal of 9135 is 5319.

9135 = T₃ + T₄ + ... + T₃₇.

It is an interprime number because it is at equal distance from previous prime (9133) and next prime (9137).

It is not a de Polignac number, because 9135 - 2¹ = 9133 is a prime.

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

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

9135 is an undulating number in base 12.

9135 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

2⁹¹³⁵ is an apocalyptic number.

9135 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (9360).

9135 is a wasteful number, since it uses less digits than its factorization.

9135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 44 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 9135 is about 95.5771939324. The cubic root of 9135 is about 20.9043266914.

It can be divided in two parts, 9 and 135, that added together give a square (144 = 12²).

The spelling of 9135 in words is "nine thousand, one hundred thirty-five".