8011 has 2 divisors, whose sum is σ = 8012. Its totient is φ = 8010.

The previous prime is 8009. The next prime is 8017. The reversal of 8011 is 1108.

8011 = 34² + 35² + ... + 39².

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8011 - 2¹ = 8009 is a prime.

It is a super-2 number, since 2×8011² = 128352242, which contains 22 as substring.

Together with 8009, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is the 90-th Hogben number.

It is equal to p₁₀₀₉ and since 8011 and 1009 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (8017) by changing a digit.

It is a nontrivial repunit in base 89.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4005 + 4006.

It is an arithmetic number, because the mean of its divisors is an integer number (4006).

2⁸⁰¹¹ is an apocalyptic number.

8011 is a deficient number, since it is larger than the sum of its proper divisors (1).

8011 is an equidigital number, since it uses as much as digits as its factorization.

8011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 8011 is about 89.5041898461. The cubic root of 8011 is about 20.0091624685.

Subtracting from 8011 its sum of digits (10), we obtain a triangular number (8001 = T₁₂₆).

Adding to 8011 its reverse (1108), we get a palindrome (9119).

Subtracting from 8011 its reverse (1108), we obtain a triangular number (6903 = T₁₁₇).

It can be divided in two parts, 80 and 11, that added together give a triangular number (91 = T₁₃).

The spelling of 8011 in words is "eight thousand, eleven".