11505827 has 2 divisors, whose sum is σ = 11505828. Its totient is φ = 11505826.

The previous prime is 11505803. The next prime is 11505829. The reversal of 11505827 is 72850511.

11505827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11505827 - 2¹⁶ = 11440291 is a prime.

Together with 11505829, 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 11505827.

It is not a weakly prime, because it can be changed into another prime (11505829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5752913 + 5752914.

It is an arithmetic number, because the mean of its divisors is an integer number (5752914).

Almost surely, 2^11505827 is an apocalyptic number.

11505827 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505827 is an equidigital number, since it uses as much as digits as its factorization.

11505827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 11505827 is about 3392.0240270375. The cubic root of 11505827 is about 225.7559887579.

The spelling of 11505827 in words is "eleven million, five hundred five thousand, eight hundred twenty-seven".