27312641 has 2 divisors, whose sum is σ = 27312642. Its totient is φ = 27312640.

The previous prime is 27312619. The next prime is 27312647. The reversal of 27312641 is 14621372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17098225 + 10214416 = 4135^2 + 3196^2 .

It is a cyclic number.

It is not a de Polignac number, because 27312641 - 2¹⁴ = 27296257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27312641.

It is not a weakly prime, because it can be changed into another prime (27312647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13656320 + 13656321.

It is an arithmetic number, because the mean of its divisors is an integer number (13656321).

Almost surely, 2^27312641 is an apocalyptic number.

It is an amenable number.

27312641 is a deficient number, since it is larger than the sum of its proper divisors (1).

27312641 is an equidigital number, since it uses as much as digits as its factorization.

27312641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 27312641 is about 5226.1497299637. The cubic root of 27312641 is about 301.1534888238.

The spelling of 27312641 in words is "twenty-seven million, three hundred twelve thousand, six hundred forty-one".