3011 has 2 divisors, whose sum is σ = 3012. Its totient is φ = 3010.

The previous prime is 3001. The next prime is 3019. The reversal of 3011 is 1103.

It is a strong prime.

It is an emirp because it is prime and its reverse (1103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3011 - 2¹⁰ = 1987 is a prime.

It is a super-2 number, since 2×3011² = 18132242, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2986 and 3004.

It is not a weakly prime, because it can be changed into another prime (3019) 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, 1505 + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (1506).

2³⁰¹¹ is an apocalyptic number.

3011 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011 is an equidigital number, since it uses as much as digits as its factorization.

3011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 3011 is about 54.8725796733. The cubic root of 3011 is about 14.4401016969.

Adding to 3011 its reverse (1103), we get a palindrome (4114).

The spelling of 3011 in words is "three thousand, eleven", and thus it is an iban number.