11826 has 20 divisors (see below), whose sum is σ = 26862. Its totient is φ = 3888.

The previous prime is 11821. The next prime is 11827. The reversal of 11826 is 62811.

11826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 2025 = 99^2 + 45^2 .

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 11799 and 11808.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11826.

It is not an unprimeable number, because it can be changed into a prime (11821) by changing a digit.

11826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 126 + ... + 198.

2¹¹⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431).

11826 is an abundant number, since it is smaller than the sum of its proper divisors (15036).

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

11826 is an equidigital number, since it uses as much as digits as its factorization.

11826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11826 is about 108.7474137624. The cubic root of 11826 is about 22.7830899545.

It can be divided in two parts, 118 and 26, that added together give a square (144 = 12²).

The spelling of 11826 in words is "eleven thousand, eight hundred twenty-six".