11305827 has 24 divisors (see below), whose sum is σ = 17847648. Its totient is φ = 6854400.

The previous prime is 11305813. The next prime is 11305829. The reversal of 11305827 is 72850311.

It is not a de Polignac number, because 11305827 - 2¹¹ = 11303779 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11305827.

It is not an unprimeable number, because it can be changed into a prime (11305829) 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 in 23 ways as a sum of consecutive naturals, for example, 7627 + ... + 8987.

It is an arithmetic number, because the mean of its divisors is an integer number (743652).

Almost surely, 2^11305827 is an apocalyptic number.

11305827 is a deficient number, since it is larger than the sum of its proper divisors (6541821).

11305827 is a wasteful number, since it uses less digits than its factorization.

11305827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11305827 is about 3362.4138650678. The cubic root of 11305827 is about 224.4402679697.

The spelling of 11305827 in words is "eleven million, three hundred five thousand, eight hundred twenty-seven".