27648961 has 2 divisors, whose sum is σ = 27648962. Its totient is φ = 27648960.

The previous prime is 27648947. The next prime is 27648979. The reversal of 27648961 is 16984672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19492225 + 8156736 = 4415^2 + 2856^2 .

It is a cyclic number.

It is not a de Polignac number, because 27648961 - 2⁹ = 27648449 is a prime.

It is not a weakly prime, because it can be changed into another prime (27648911) 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, 13824480 + 13824481.

It is an arithmetic number, because the mean of its divisors is an integer number (13824481).

Almost surely, 2^27648961 is an apocalyptic number.

It is an amenable number.

27648961 is a deficient number, since it is larger than the sum of its proper divisors (1).

27648961 is an equidigital number, since it uses as much as digits as its factorization.

27648961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 43.

The square root of 27648961 is about 5258.2279334392. The cubic root of 27648961 is about 302.3845553605.

The spelling of 27648961 in words is "twenty-seven million, six hundred forty-eight thousand, nine hundred sixty-one".