3221 has 2 divisors, whose sum is σ = 3222. Its totient is φ = 3220.

The previous prime is 3217. The next prime is 3229. The reversal of 3221 is 1223.

Adding to 3221 its reverse (1223), we get a palindrome (4444).

It can be divided in two parts, 322 and 1, that added together give a palindrome (323).

3221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3229) can be obtained adding 3221 to its sum of digits (8).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 196 = 55^2 + 14^2 .

It is an emirp because it is prime and its reverse (1223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3221 - 2^{2} = 3217 is a prime.

It is a Chen prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3199 and 3208.

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 3221.

It is not a weakly prime, because it can be changed into another prime (3229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1610 + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (1611).

2^{3221} is an apocalyptic number.

It is an amenable number.

3221 is a deficient number, since it is larger than the sum of its proper divisors (1).

3221 is an equidigital number, since it uses as much as digits as its factorization.

3221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 8.

The square root of 3221 is about 56.7538544947. The cubic root of 3221 is about 14.7682910115.

The spelling of 3221 in words is "three thousand, two hundred twenty-one", and thus it is an iban number.

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