1004033221 has 16 divisors (see below), whose sum is σ = 1051218928. Its totient is φ = 958003200.

The previous prime is 1004033213. The next prime is 1004033231. The reversal of 1004033221 is 1223304001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30625 + 1004002596 = 175^2 + 31686^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004033221 - 2³ = 1004033213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1004033195 and 1004033204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004033201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491541 + ... + 1492213.

It is an arithmetic number, because the mean of its divisors is an integer number (65701183).

Almost surely, 2^1004033221 is an apocalyptic number.

It is an amenable number.

1004033221 is a deficient number, since it is larger than the sum of its proper divisors (47185707).

1004033221 is an equidigital number, since it uses as much as digits as its factorization.

1004033221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1004033221 is about 31686.4832539050. The cubic root of 1004033221 is about 1001.3426036088.

Adding to 1004033221 its reverse (1223304001), we get a palindrome (2227337222).

The spelling of 1004033221 in words is "one billion, four million, thirty-three thousand, two hundred twenty-one".