9045 has 16 divisors (see below), whose sum is σ = 16320. Its totient is φ = 4752.

The previous prime is 9043. The next prime is 9049. The reversal of 9045 is 5409.

9045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9045 is a nontrivial binomial coefficient, being equal to C(135, 2).

It is not a de Polignac number, because 9045 - 2¹ = 9043 is a prime.

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 (9041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 102 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

9045 is the 134-th triangular number.

It is an amenable number.

9045 is a deficient number, since it is larger than the sum of its proper divisors (7275).

9045 is a wasteful number, since it uses less digits than its factorization.

9045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9045 is about 95.1052049049. The cubic root of 9045 is about 20.8354486741.

It can be divided in two parts, 904 and 5, that added together give a palindrome (909).

The spelling of 9045 in words is "nine thousand, forty-five".