11007 has 6 divisors (see below), whose sum is σ = 15912. Its totient is φ = 7332.

The previous prime is 11003. The next prime is 11027. The reversal of 11007 is 70011.

It is not a de Polignac number, because 11007 - 2² = 11003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1223 = 11007 / (1 + 1 + 0 + 0 + 7).

It is a plaindrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11007.

It is not an unprimeable number, because it can be changed into a prime (11003) 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 5 ways as a sum of consecutive naturals, for example, 603 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (2652).

2¹¹⁰⁰⁷ is an apocalyptic number.

11007 is a deficient number, since it is larger than the sum of its proper divisors (4905).

11007 is a wasteful number, since it uses less digits than its factorization.

11007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 11007 is about 104.9142507003. The cubic root of 11007 is about 22.2445174389.

Adding to 11007 its reverse (70011), we get a palindrome (81018).

The spelling of 11007 in words is "eleven thousand, seven", and thus it is an iban number.