1004221333 has 2 divisors, whose sum is σ = 1004221334. Its totient is φ = 1004221332.

The previous prime is 1004221319. The next prime is 1004221343. The reversal of 1004221333 is 3331224001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 659821969 + 344399364 = 25687^2 + 18558^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004221333 - 2⁵ = 1004221301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004221333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004221313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502110666 + 502110667.

It is an arithmetic number, because the mean of its divisors is an integer number (502110667).

Almost surely, 2^1004221333 is an apocalyptic number.

It is an amenable number.

1004221333 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004221333 is an equidigital number, since it uses as much as digits as its factorization.

1004221333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1004221333 is about 31689.4514468143. The cubic root of 1004221333 is about 1001.4051356690.

Adding to 1004221333 its reverse (3331224001), we get a palindrome (4335445334).

It can be divided in two parts, 10042 and 21333, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 1004221333 in words is "one billion, four million, two hundred twenty-one thousand, three hundred thirty-three".