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11271 = 313172

11271 has 12 divisors (see below), whose sum is σ = 17192. Its totient is φ = 6528.

The previous prime is 11261. The next prime is 11273. The reversal of 11271 is 17211.

It is not a de Polignac number, because 11271 - 25 = 11239 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11271.

It is not an unprimeable number, because it can be changed into a prime (11273) 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, 655 + ... + 671.

211271 is an apocalyptic number.

11271 is a deficient number, since it is larger than the sum of its proper divisors (5921).

11271 is a wasteful number, since it uses less digits than its factorization.

11271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its digits is 14, while the sum is 12.

The square root of 11271 is about 106.1649659728. The cubic root of 11271 is about 22.4209572148.

Adding to 11271 its reverse (17211), we get a palindrome (28482).

It can be divided in two parts, 1127 and 1, that added together give a triangular number (1128 = T47).

The spelling of 11271 in words is "eleven thousand, two hundred seventy-one", and thus it is an iban number.

Divisors: 1 3 13 17 39 51 221 289 663 867 3757 11271