3283 has 6 divisors (see below), whose sum is σ = 3876. Its totient is φ = 2772.

The previous prime is 3271. The next prime is 3299. The reversal of 3283 is 3823.

It is a happy number.

It is not a de Polignac number, because 3283 - 2⁵ = 3251 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3203) 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 5 ways as a sum of consecutive naturals, for example, 16 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (646).

3283 is a deficient number, since it is larger than the sum of its proper divisors (593).

3283 is an equidigital number, since it uses as much as digits as its factorization.

3283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 74 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 3283 is about 57.2974694031. The cubic root of 3283 is about 14.8624461555.

The spelling of 3283 in words is "three thousand, two hundred eighty-three".