11006 has 4 divisors (see below), whose sum is σ = 16512. Its totient is φ = 5502.

The previous prime is 11003. The next prime is 11027. The reversal of 11006 is 60011.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 60011 = 7 ⋅8573.

It is a super-2 number, since 2×11006² = 242264072, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10984 and 11002.

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 as a sum of consecutive naturals, namely, 2750 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (4128).

11006 is a deficient number, since it is larger than the sum of its proper divisors (5506).

11006 is an equidigital number, since it uses as much as digits as its factorization.

11006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11006 is about 104.9094847952. The cubic root of 11006 is about 22.2438437709.

Adding to 11006 its reverse (60011), we get a palindrome (71017).

The spelling of 11006 in words is "eleven thousand, six".