9285 has 8 divisors (see below), whose sum is σ = 14880. Its totient is φ = 4944.

The previous prime is 9283. The next prime is 9293. The reversal of 9285 is 5829.

9285 = T_{38} + T_{39} + ... +
T_{47}.

9285 is nontrivially palindromic in base 14.

9285 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9285 - 2^{1} = 9283 is a prime.

It is a super-2 number, since 2×9285^{2} = 172422450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

9285 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 (9281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2^{9285} is an apocalyptic number.

It is an amenable number.

9285 is a deficient number, since it is larger than the sum of its proper divisors (5595).

9285 is a wasteful number, since it uses less digits than its factorization.

9285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its digits is 720, while the sum is 24.

The square root of 9285 is about 96.3587048481. The cubic root of 9285 is about 21.0181249416.

Subtracting from 9285 its sum of digits (24), we obtain a cube (9261 = 21^{3}).

The spelling of 9285 in words is "nine thousand, two hundred eighty-five".

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