1002221305 has 16 divisors (see below), whose sum is σ = 1210274064. Its totient is φ = 796723200.

The previous prime is 1002221299. The next prime is 1002221317. The reversal of 1002221305 is 5031222001.

It can be written as a sum of positive squares in 8 ways, for example, as 57335184 + 944886121 = 7572^2 + 30739^2 .

It is not a de Polignac number, because 1002221305 - 2¹⁷ = 1002090233 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626767 + ... + 628363.

It is an arithmetic number, because the mean of its divisors is an integer number (75642129).

Almost surely, 2^1002221305 is an apocalyptic number.

It is an amenable number.

1002221305 is a deficient number, since it is larger than the sum of its proper divisors (208052759).

1002221305 is a wasteful number, since it uses less digits than its factorization.

1002221305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1002221305 is about 31657.8790350838. The cubic root of 1002221305 is about 1000.7398874316.

Adding to 1002221305 its reverse (5031222001), we get a palindrome (6033443306).

The spelling of 1002221305 in words is "one billion, two million, two hundred twenty-one thousand, three hundred five".