4711 has 4 divisors (see below), whose sum is σ = 5392. Its totient is φ = 4032.

The previous prime is 4703. The next prime is 4721. The reversal of 4711 is 1174.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1174 = 2 ⋅587.

It is not a de Polignac number, because 4711 - 2³ = 4703 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4691 and 4700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4721) 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 in 3 ways as a sum of consecutive naturals, for example, 330 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (1348).

2⁴⁷¹¹ is an apocalyptic number.

4711 is a deficient number, since it is larger than the sum of its proper divisors (681).

4711 is an equidigital number, since it uses as much as digits as its factorization.

4711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its digits is 28, while the sum is 13.

The square root of 4711 is about 68.6367248636. The cubic root of 4711 is about 16.7637445661.

Adding to 4711 its reverse (1174), we get a palindrome (5885).

The spelling of 4711 in words is "four thousand, seven hundred eleven", and thus it is an iban number.