11844 has 36 divisors (see below), whose sum is σ = 34944. Its totient is φ = 3312.

The previous prime is 11839. The next prime is 11863. The reversal of 11844 is 44811.

11844 is nontrivially palindromic in base 11.

11844 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (128) is a multiple of the sum of its prime factors (64).

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 275.

11844 is a Friedman number, since it can be written as 141*84, using all its digits and the basic arithmetic operations.

2¹¹⁸⁴⁴ is an apocalyptic number.

11844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472).

11844 is an abundant number, since it is smaller than the sum of its proper divisors (23100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11844 is a wasteful number, since it uses less digits than its factorization.

11844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11844 is about 108.8301428833. The cubic root of 11844 is about 22.7946432476.

The spelling of 11844 in words is "eleven thousand, eight hundred forty-four".