3289 has 8 divisors (see below), whose sum is σ = 4032. Its totient is φ = 2640.

The previous prime is 3271. The next prime is 3299. The reversal of 3289 is 9823.

3289 = 12² + 13² + ... + 22².

3289 is nontrivially palindromic in base 12.

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

It is not a de Polignac number, because 3289 - 2⁵ = 3257 is a prime.

It is a Duffinian number.

3289 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209) 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 7 ways as a sum of consecutive naturals, for example, 132 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is an amenable number.

3289 is a deficient number, since it is larger than the sum of its proper divisors (743).

3289 is a wasteful number, since it uses less digits than its factorization.

3289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47.

The product of its digits is 432, while the sum is 22.

The square root of 3289 is about 57.3498038358. The cubic root of 3289 is about 14.8714948312.

Adding to 3289 its product of digits (432), we get a square (3721 = 61²).

It can be divided in two parts, 32 and 89, that added together give a palindrome (121).

The spelling of 3289 in words is "three thousand, two hundred eighty-nine".