11727137 has 2 divisors, whose sum is σ = 11727138. Its totient is φ = 11727136.

The previous prime is 11727119. The next prime is 11727139. The reversal of 11727137 is 73172711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11669056 + 58081 = 3416^2 + 241^2 .

It is an emirp because it is prime and its reverse (73172711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11727137 - 2⁶ = 11727073 is a prime.

Together with 11727139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11727139) 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, 5863568 + 5863569.

It is an arithmetic number, because the mean of its divisors is an integer number (5863569).

Almost surely, 2^11727137 is an apocalyptic number.

It is an amenable number.

11727137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11727137 is an equidigital number, since it uses as much as digits as its factorization.

11727137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2058, while the sum is 29.

The square root of 11727137 is about 3424.4907650627. The cubic root of 11727137 is about 227.1942485257.

Adding to 11727137 its reverse (73172711), we get a palindrome (84899848).

The spelling of 11727137 in words is "eleven million, seven hundred twenty-seven thousand, one hundred thirty-seven".