11005823 has 2 divisors, whose sum is σ = 11005824. Its totient is φ = 11005822.

The previous prime is 11005811. The next prime is 11005843. The reversal of 11005823 is 32850011.

It is an a-pointer prime, because the next prime (11005843) can be obtained adding 11005823 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11005823 - 2¹⁶ = 10940287 is a prime.

It is a super-2 number, since 2×11005823² = 242256279814658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005795 and 11005804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11005843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502911 + 5502912.

It is an arithmetic number, because the mean of its divisors is an integer number (5502912).

Almost surely, 2^11005823 is an apocalyptic number.

11005823 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005823 is an equidigital number, since it uses as much as digits as its factorization.

11005823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11005823 is about 3317.5025244904. The cubic root of 11005823 is about 222.4372452739.

Adding to 11005823 its reverse (32850011), we get a palindrome (43855834).

The spelling of 11005823 in words is "eleven million, five thousand, eight hundred twenty-three".