27657137 has 2 divisors, whose sum is σ = 27657138. Its totient is φ = 27657136.

The previous prime is 27657121. The next prime is 27657139. The reversal of 27657137 is 73175672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16394401 + 11262736 = 4049^2 + 3356^2 .

It is a cyclic number.

It is not a de Polignac number, because 27657137 - 2⁴ = 27657121 is a prime.

Together with 27657139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27657137.

It is not a weakly prime, because it can be changed into another prime (27657139) 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, 13828568 + 13828569.

It is an arithmetic number, because the mean of its divisors is an integer number (13828569).

Almost surely, 2^27657137 is an apocalyptic number.

It is an amenable number.

27657137 is a deficient number, since it is larger than the sum of its proper divisors (1).

27657137 is an equidigital number, since it uses as much as digits as its factorization.

27657137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61740, while the sum is 38.

The square root of 27657137 is about 5259.0053242034. The cubic root of 27657137 is about 302.4143581979.

The spelling of 27657137 in words is "twenty-seven million, six hundred fifty-seven thousand, one hundred thirty-seven".