• 711 can be written using four 4's:

711 has 6 divisors (see below), whose sum is σ = 1040. Its totient is φ = 468.

The previous prime is 709. The next prime is 719. The reversal of 711 is 117.

It is not a de Polignac number, because 711 - 2^{1} = 709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 79 = 711 / (7 + 1 + 1).

It is a Duffinian number.

711 is a modest number, since divided by 11 gives 7 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 3, base 9 and base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 693 and 702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31 + ... + 48.

711 is a deficient number, since it is larger than the sum of its proper divisors (329).

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

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

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

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

The square root of 711 is about 26.6645832519. The cubic root of 711 is about 8.9253077596.

Adding to 711 its reverse (117), we get a palindrome (828).

It can be divided in two parts, 7 and 11, that multiplied together give a palindrome (77).

The spelling of 711 in words is "seven hundred eleven", and thus it is an aban number, an iban number, and an oban number.

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