27641303221 has 12 divisors (see below), whose sum is σ = 34045591788. Its totient is φ = 22298865792.

The previous prime is 27641303203. The next prime is 27641303243. The reversal of 27641303221 is 12230314672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7791592900 + 19849710321 = 88270^2 + 140889^2 .

It is not a de Polignac number, because 27641303221 - 2¹¹ = 27641301173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27641303251) 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 in 11 ways as a sum of consecutive naturals, for example, 16590586 + ... + 16592251.

It is an arithmetic number, because the mean of its divisors is an integer number (2837132649).

Almost surely, 2^27641303221 is an apocalyptic number.

It is an amenable number.

27641303221 is a deficient number, since it is larger than the sum of its proper divisors (6404288567).

27641303221 is a wasteful number, since it uses less digits than its factorization.

27641303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33182868 (or 33182861 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 27641303221 its reverse (12230314672), we get a palindrome (39871617893).

The spelling of 27641303221 in words is "twenty-seven billion, six hundred forty-one million, three hundred three thousand, two hundred twenty-one".