3321 has 10 divisors (see below), whose sum is σ = 5082. Its totient is φ = 2160.

The previous prime is 3319. The next prime is 3323. The reversal of 3321 is 1233.

It is a happy number.

3321 is a nontrivial binomial coefficient, being equal to C(82, 2).

It is an interprime number because it is at equal distance from previous prime (3319) and next prime (3323).

It can be written as a sum of positive squares in only one way, i.e., 2025 + 1296 = 45^2 + 36^2 .

It is not a de Polignac number, because 3321 - 2^{1} = 3319 is a prime.

It is a super-2 number, since 2×3321^{2} = 22058082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3321.

It is not an unprimeable number, because it can be changed into a prime (3323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61 + ... + 101.

2^{3321} is an apocalyptic number.

3321 is the 81-st triangular number and also the 41-st hexagonal number.

It is an amenable number.

3321 is a deficient number, since it is larger than the sum of its proper divisors (1761).

3321 is an equidigital number, since it uses as much as digits as its factorization.

3321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its digits is 18, while the sum is 9.

The square root of 3321 is about 57.6281181369. The cubic root of 3321 is about 14.9195694998.

Adding to 3321 its reverse (1233), we get a palindrome (4554).

It can be divided in two parts, 332 and 1, that added together give a palindrome (333).

The spelling of 3321 in words is "three thousand, three hundred twenty-one", and thus it is an iban number.

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