9075 has 18 divisors (see below), whose sum is σ = 16492. Its totient is φ = 4400.

The previous prime is 9067. The next prime is 9091. The reversal of 9075 is 5709.

9075 = T₃₅ + T₃₆ + ... + T₄₅.

9075 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 9075 - 2³ = 9067 is a prime.

It is a Duffinian number.

9075 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 820 + ... + 830.

2⁹⁰⁷⁵ is an apocalyptic number.

9075 is a deficient number, since it is larger than the sum of its proper divisors (7417).

9075 is a wasteful number, since it uses less digits than its factorization.

9075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 9075 is about 95.2627944163. The cubic root of 9075 is about 20.8584585754.

The spelling of 9075 in words is "nine thousand, seventy-five".