16811 has 2 divisors, whose sum is σ = 16812. Its totient is φ = 16810.

The previous prime is 16787. The next prime is 16823. The reversal of 16811 is 11861.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 16811 - 2⁶ = 16747 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16811.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16811.

It is not a weakly prime, because it can be changed into another prime (16831) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8405 + 8406.

It is an arithmetic number, because the mean of its divisors is an integer number (8406).

2¹⁶⁸¹¹ is an apocalyptic number.

16811 is a deficient number, since it is larger than the sum of its proper divisors (1).

16811 is an equidigital number, since it uses as much as digits as its factorization.

16811 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 17.

The square root of 16811 is about 129.6572404457. The cubic root of 16811 is about 25.6171719099.

Subtracting from 16811 its reverse (11861), we obtain a triangular number (4950 = T₉₉).

The spelling of 16811 in words is "sixteen thousand, eight hundred eleven".