11084 has 12 divisors (see below), whose sum is σ = 20664. Its totient is φ = 5184.

The previous prime is 11083. The next prime is 11087. The reversal of 11084 is 48011.

It is a happy number.

11084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11084.

It is not an unprimeable number, because it can be changed into a prime (11083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1722).

2¹¹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

11084 is a deficient number, since it is larger than the sum of its proper divisors (9580).

11084 is a wasteful number, since it uses less digits than its factorization.

11084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11084 is about 105.2805775060. The cubic root of 11084 is about 22.2962678170.

Adding to 11084 its reverse (48011), we get a palindrome (59095).

The spelling of 11084 in words is "eleven thousand, eighty-four".