2005004221 has 12 divisors (see below), whose sum is σ = 2197155744. Its totient is φ = 1814535800.

The previous prime is 2005004219. The next prime is 2005004269. The reversal of 2005004221 is 1224005002.

It is not a de Polignac number, because 2005004221 - 2¹ = 2005004219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005004195 and 2005004204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005004321) 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, 626736 + ... + 629926.

It is an arithmetic number, because the mean of its divisors is an integer number (183096312).

Almost surely, 2^2005004221 is an apocalyptic number.

It is an amenable number.

2005004221 is a deficient number, since it is larger than the sum of its proper divisors (192151523).

2005004221 is an equidigital number, since it uses as much as digits as its factorization.

2005004221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2005004221 is about 44777.2734877862. The cubic root of 2005004221 is about 1260.9709952508.

Adding to 2005004221 its reverse (1224005002), we get a palindrome (3229009223).

The spelling of 2005004221 in words is "two billion, five million, four thousand, two hundred twenty-one".