10711 has 2 divisors, whose sum is σ = 10712. Its totient is φ = 10710.

The previous prime is 10709. The next prime is 10723. The reversal of 10711 is 11701.

10711 = T₈₃ + T₈₄ + T₈₅.

10711 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (11701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10711 - 2¹ = 10709 is a prime.

It is a super-2 number, since 2×10711² = 229451042, which contains 22 as substring.

Together with 10709, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₃₀₆ and since 10711 and 1306 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5355 + 5356.

It is an arithmetic number, because the mean of its divisors is an integer number (5356).

2¹⁰⁷¹¹ is an apocalyptic number.

10711 is the 85-th centered triangular number.

10711 is a deficient number, since it is larger than the sum of its proper divisors (1).

10711 is an equidigital number, since it uses as much as digits as its factorization.

10711 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 10711 is about 103.4939611765. The cubic root of 10711 is about 22.0433031392.

Subtracting from 10711 its sum of digits (10), we obtain a palindrome (10701).

Subtracting 10711 from its reverse (11701), we obtain a triangular number (990 = T₄₄).

The spelling of 10711 in words is "ten thousand, seven hundred eleven", and thus it is an iban number.