11005 has 8 divisors (see below), whose sum is σ = 13824. Its totient is φ = 8400.

The previous prime is 11003. The next prime is 11027. The reversal of 11005 is 50011.

11005 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11005 - 2¹ = 11003 is a prime.

It is a super-2 number, since 2×11005² = 242220050, which contains 22 as substring.

It is a Duffinian number.

11005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹¹⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

11005 is a deficient number, since it is larger than the sum of its proper divisors (2819).

11005 is an equidigital number, since it uses as much as digits as its factorization.

11005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 11005 is about 104.9047186737. The cubic root of 11005 is about 22.2431700621.

Adding to 11005 its reverse (50011), we get a palindrome (61016).

The spelling of 11005 in words is "eleven thousand, five".