3221504 has 72 divisors (see below), whose sum is σ = 7624890. Its totient is φ = 1351680.

The previous prime is 3221503. The next prime is 3221509. The reversal of 3221504 is 4051223.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 123904 = 1760^2 + 352^2 .

It is not an unprimeable number, because it can be changed into a prime (3221501) 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 5 ways as a sum of consecutive naturals, for example, 247802 + ... + 247814.

Almost surely, 2^3221504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812445).

3221504 is an abundant number, since it is smaller than the sum of its proper divisors (4403386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3221504 is a wasteful number, since it uses less digits than its factorization.

3221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3221504 is about 1794.8548687847. The cubic root of 3221504 is about 147.6906125162.

Adding to 3221504 its reverse (4051223), we get a palindrome (7272727).

The spelling of 3221504 in words is "three million, two hundred twenty-one thousand, five hundred four".