10811 has 4 divisors (see below), whose sum is σ = 11400. Its totient is φ = 10224.

The previous prime is 10799. The next prime is 10831. The reversal of 10811 is 11801.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10811 - 2¹⁰ = 9787 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10792 and 10801.

It is not an unprimeable number, because it can be changed into a prime (10831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 266 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

2¹⁰⁸¹¹ is an apocalyptic number.

10811 is the 47-th centered decagonal number.

10811 is a deficient number, since it is larger than the sum of its proper divisors (589).

10811 is an equidigital number, since it uses as much as digits as its factorization.

10811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 10811 is about 103.9759587597. The cubic root of 10811 is about 22.1116909541. Note that the first 3 decimals are identical.

Subtracting 10811 from its reverse (11801), we obtain a triangular number (990 = T₄₄).

The spelling of 10811 in words is "ten thousand, eight hundred eleven".