3212 has 12 divisors (see below), whose sum is σ = 6216. Its totient is φ = 1440.

The previous prime is 3209. The next prime is 3217. The reversal of 3212 is 2123.

Adding to 3212 its reverse (2123), we get a palindrome (5335).

Subtracting from 3212 its reverse (2123), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 321 and 2, that added together give a palindrome (323).

3212 is nontrivially palindromic in base 16.

3212 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as **3**^{7} + **1** + **2**^{9} + **2**^{9} .

It is an alternating number because its digits alternate between odd and even.

3212 is an undulating number in base 16.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3212.

It is not an unprimeable number, because it can be changed into a prime (3217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (518).

It is an amenable number.

3212 is a deficient number, since it is larger than the sum of its proper divisors (3004).

3212 is a wasteful number, since it uses less digits than its factorization.

3212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

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

The square root of 3212 is about 56.6745092612. The cubic root of 3212 is about 14.7545231747.

The spelling of 3212 in words is "three thousand, two hundred twelve", and thus it is an iban number.

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