1003413221 has 2 divisors, whose sum is σ = 1003413222. Its totient is φ = 1003413220.

The previous prime is 1003413179. The next prime is 1003413263. The reversal of 1003413221 is 1223143001.

It is a balanced prime because it is at equal distance from previous prime (1003413179) and next prime (1003413263).

It can be written as a sum of positive squares in only one way, i.e., 811452196 + 191961025 = 28486^2 + 13855^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003413221 - 2¹⁸ = 1003151077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003413221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003413121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501706610 + 501706611.

It is an arithmetic number, because the mean of its divisors is an integer number (501706611).

Almost surely, 2^1003413221 is an apocalyptic number.

It is an amenable number.

1003413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003413221 is an equidigital number, since it uses as much as digits as its factorization.

1003413221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1003413221 is about 31676.6983917201. The cubic root of 1003413221 is about 1001.1364483293.

Adding to 1003413221 its reverse (1223143001), we get a palindrome (2226556222).

The spelling of 1003413221 in words is "one billion, three million, four hundred thirteen thousand, two hundred twenty-one".