11727041 has 2 divisors, whose sum is σ = 11727042. Its totient is φ = 11727040.

The previous prime is 11727031. The next prime is 11727043. The reversal of 11727041 is 14072711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8850625 + 2876416 = 2975^2 + 1696^2 .

It is a cyclic number.

It is not a de Polignac number, because 11727041 - 2⁶ = 11726977 is a prime.

It is a Sophie Germain prime.

Together with 11727043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11726998 and 11727016.

It is not a weakly prime, because it can be changed into another prime (11727043) 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, 5863520 + 5863521.

It is an arithmetic number, because the mean of its divisors is an integer number (5863521).

Almost surely, 2^11727041 is an apocalyptic number.

It is an amenable number.

11727041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11727041 is an equidigital number, since it uses as much as digits as its factorization.

11727041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 11727041 is about 3424.4767483515. The cubic root of 11727041 is about 227.1936285760.

Adding to 11727041 its reverse (14072711), we get a palindrome (25799752).

The spelling of 11727041 in words is "eleven million, seven hundred twenty-seven thousand, forty-one".