27727713 has 24 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 16980480.

The previous prime is 27727709. The next prime is 27727723. The reversal of 27727713 is 31772772.

It can be written as a sum of positive squares in 4 ways, for example, as 1595169 + 26132544 = 1263^2 + 5112^2 .

It is not a de Polignac number, because 27727713 - 2² = 27727709 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27727723) 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 in 23 ways as a sum of consecutive naturals, for example, 31033 + ... + 31913.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^27727713 is an apocalyptic number.

It is an amenable number.

27727713 is a deficient number, since it is larger than the sum of its proper divisors (15613767).

27727713 is a wasteful number, since it uses less digits than its factorization.

With its successor (27727714) it forms an eRAP, since the sums of their prime factors are consecutive (1169 and 1170).

27727713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1166 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 27727713 is about 5265.7110630949. The cubic root of 27727713 is about 302.6713752418.

The spelling of 27727713 in words is "twenty-seven million, seven hundred twenty-seven thousand, seven hundred thirteen".