11833 has 2 divisors, whose sum is σ = 11834.
Its totient is φ = 11832.
The previous prime is 11831. The next prime is 11839. The reversal of 11833 is 33811.
11833 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 11664 + 169 = 108^2 + 13^2
It is an emirp because it is prime and its reverse (33811) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 11833 - 21 = 11831 is a prime.
Together with 11831, it forms a pair of twin primes.
11833 is a lucky number.
It is a plaindrome in base 15.
It is not a weakly prime, because it can be changed into another prime (11831) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5916 + 5917.
It is an arithmetic number, because the mean of its divisors is an integer number (5917).
It is an amenable number.
11833 is a deficient number, since it is larger than the sum of its proper divisors (1).
11833 is an equidigital number, since it uses as much as digits as its factorization.
11833 is an evil number, because the sum of its binary digits is even.
The product of its digits is 72, while the sum is 16.
The square root of 11833 is about 108.7795936745.
The cubic root of 11833 is about 22.7875842939.
The spelling of 11833 in words is "eleven thousand, eight hundred thirty-three".