27985313 has 2 divisors, whose sum is σ = 27985314. Its totient is φ = 27985312.

The previous prime is 27985301. The next prime is 27985367. The reversal of 27985313 is 31358972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16581184 + 11404129 = 4072^2 + 3377^2 .

It is a cyclic number.

It is not a de Polignac number, because 27985313 - 2¹⁶ = 27919777 is a prime.

It is not a weakly prime, because it can be changed into another prime (27985393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13992656 + 13992657.

It is an arithmetic number, because the mean of its divisors is an integer number (13992657).

Almost surely, 2^27985313 is an apocalyptic number.

It is an amenable number.

27985313 is a deficient number, since it is larger than the sum of its proper divisors (1).

27985313 is an equidigital number, since it uses as much as digits as its factorization.

27985313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 27985313 is about 5290.1146490412. The cubic root of 27985313 is about 303.6057945896.

The spelling of 27985313 in words is "twenty-seven million, nine hundred eighty-five thousand, three hundred thirteen".