7011 has 12 divisors (see below), whose sum is σ = 10920. Its totient is φ = 4320.

The previous prime is 7001. The next prime is 7013. The reversal of 7011 is 1107.

It is not a de Polignac number, because 7011 - 2⁶ = 6947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6984 and 7002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7011.

It is not an unprimeable number, because it can be changed into a prime (7013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

7011 is a deficient number, since it is larger than the sum of its proper divisors (3909).

7011 is a wasteful number, since it uses less digits than its factorization.

7011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 7011 is about 83.7317144217. The cubic root of 7011 is about 19.1393266994.

Adding to 7011 its reverse (1107), we get a palindrome (8118).

It can be divided in two parts, 70 and 11, that added together give a 4-th power (81 = 3⁴).

The spelling of 7011 in words is "seven thousand, eleven", and thus it is an iban number.