1004212321 has 12 divisors (see below), whose sum is σ = 1236881988. Its totient is φ = 810120192.

The previous prime is 1004212291. The next prime is 1004212351. The reversal of 1004212321 is 1232124001.

1004212321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004212291) and next prime (1004212351).

It can be written as a sum of positive squares in 2 ways, for example, as 778131025 + 226081296 = 27895^2 + 15036^2 .

It is not a de Polignac number, because 1004212321 - 2⁵ = 1004212289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004212295 and 1004212304.

It is not an unprimeable number, because it can be changed into a prime (1004212351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601936 + ... + 603601.

It is an arithmetic number, because the mean of its divisors is an integer number (103073499).

Almost surely, 2^1004212321 is an apocalyptic number.

It is an amenable number.

1004212321 is a deficient number, since it is larger than the sum of its proper divisors (232669667).

1004212321 is a wasteful number, since it uses less digits than its factorization.

1004212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205568 (or 1205561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1004212321 is about 31689.3092540686. The cubic root of 1004212321 is about 1001.4021400843.

Adding to 1004212321 its reverse (1232124001), we get a palindrome (2236336322).

The spelling of 1004212321 in words is "one billion, four million, two hundred twelve thousand, three hundred twenty-one".