2005134221 has 2 divisors, whose sum is σ = 2005134222. Its totient is φ = 2005134220.

The previous prime is 2005134203. The next prime is 2005134223. The reversal of 2005134221 is 1224315002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1428462025 + 576672196 = 37795^2 + 24014^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005134221 - 2¹⁴ = 2005117837 is a prime.

It is a Sophie Germain prime.

Together with 2005134223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2005134193 and 2005134202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005134223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002567110 + 1002567111.

It is an arithmetic number, because the mean of its divisors is an integer number (1002567111).

Almost surely, 2^2005134221 is an apocalyptic number.

It is an amenable number.

2005134221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005134221 is an equidigital number, since it uses as much as digits as its factorization.

2005134221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2005134221 is about 44778.7250935084. The cubic root of 2005134221 is about 1260.9982475104.

Adding to 2005134221 its reverse (1224315002), we get a palindrome (3229449223).

The spelling of 2005134221 in words is "two billion, five million, one hundred thirty-four thousand, two hundred twenty-one".