11711 has 6 divisors (see below), whose sum is σ = 13680. Its totient is φ = 9996.

The previous prime is 11701. The next prime is 11717.

11711 is nontrivially palindromic in base 10.

11711 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11711 - 2¹⁰ = 10687 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a nialpdrome in base 5 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11692 and 11701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

2¹¹⁷¹¹ is an apocalyptic number.

11711 is a deficient number, since it is larger than the sum of its proper divisors (1969).

11711 is an equidigital number, since it uses as much as digits as its factorization.

11711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 7, while the sum is 11.

The square root of 11711 is about 108.2173738362. The cubic root of 11711 is about 22.7089991294.

Multiplying 11711 by its sum of digits (11), we get a palindrome (128821).

It can be divided in two parts, 117 and 11, that added together give a 7-th power (128 = 2⁷).

The spelling of 11711 in words is "eleven thousand, seven hundred eleven", and thus it is an iban number.