13005227 has 2 divisors, whose sum is σ = 13005228. Its totient is φ = 13005226.

The previous prime is 13005211. The next prime is 13005233. The reversal of 13005227 is 72250031.

13005227 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13005227 - 2⁴ = 13005211 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13005199 and 13005208.

It is not a weakly prime, because it can be changed into another prime (13005277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502613 + 6502614.

It is an arithmetic number, because the mean of its divisors is an integer number (6502614).

Almost surely, 2^13005227 is an apocalyptic number.

13005227 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005227 is an equidigital number, since it uses as much as digits as its factorization.

13005227 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 13005227 is about 3606.2760570982. The cubic root of 13005227 is about 235.1649784632.

Adding to 13005227 its reverse (72250031), we get a palindrome (85255258).

The spelling of 13005227 in words is "thirteen million, five thousand, two hundred twenty-seven".