3285 has 12 divisors (see below), whose sum is σ = 5772. Its totient is φ = 1728.

The previous prime is 3271. The next prime is 3299. The reversal of 3285 is 5823.

It is an interprime number because it is at equal distance from previous prime (3271) and next prime (3299).

It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 1764 = 39^2 + 42^2 .

It is not a de Polignac number, because 3285 - 2⁵ = 3253 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

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, 9 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (481).

2³²⁸⁵ is an apocalyptic number.

It is an amenable number.

3285 is a deficient number, since it is larger than the sum of its proper divisors (2487).

3285 is a wasteful number, since it uses less digits than its factorization.

3285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3285 is about 57.3149195236. The cubic root of 3285 is about 14.8654636048.

It can be divided in two parts, 328 and 5, that added together give a palindrome (333).

The spelling of 3285 in words is "three thousand, two hundred eighty-five".