9011 has 2 divisors, whose sum is σ = 9012. Its totient is φ = 9010.

The previous prime is 9007. The next prime is 9013. The reversal of 9011 is 1109.

9011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (1109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9011 - 2² = 9007 is a prime.

Together with 9013, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8983 and 9001.

It is not a weakly prime, because it can be changed into another prime (9013) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4505 + 4506.

It is an arithmetic number, because the mean of its divisors is an integer number (4506).

2⁹⁰¹¹ is an apocalyptic number.

9011 is a deficient number, since it is larger than the sum of its proper divisors (1).

9011 is an equidigital number, since it uses as much as digits as its factorization.

9011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 9011 is about 94.9262871917. The cubic root of 9011 is about 20.8093091959.

It can be divided in two parts, 90 and 11, that multiplied together give a triangular number (990 = T₄₄).

The spelling of 9011 in words is "nine thousand, eleven".