33811 has 2 divisors, whose sum is σ = 33812. Its totient is φ = 33810.

The previous prime is 33809. The next prime is 33827. The reversal of 33811 is 11833.

It is an a-pointer prime, because the next prime (33827) can be obtained adding 33811 to its sum of digits (16).

It is a weak prime.

It is an emirp because it is prime and its reverse (11833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33811 - 2¹ = 33809 is a prime.

It is a super-2 number, since 2×33811² = 2286367442, which contains 22 as substring.

Together with 33809, it forms a pair of twin primes.

It is an Ulam number.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (33851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16905 + 16906.

It is an arithmetic number, because the mean of its divisors is an integer number (16906).

2³³⁸¹¹ is an apocalyptic number.

33811 is a deficient number, since it is larger than the sum of its proper divisors (1).

33811 is an equidigital number, since it uses as much as digits as its factorization.

33811 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 33811 is about 183.8776767310. The cubic root of 33811 is about 32.3359783384.

The spelling of 33811 in words is "thirty-three thousand, eight hundred eleven".