5271 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 3000.

The previous prime is 5261. The next prime is 5273. The reversal of 5271 is 1725.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5271 - 2⁹ = 4759 is a prime.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273) 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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

5271 is a deficient number, since it is larger than the sum of its proper divisors (2793).

5271 is a wasteful number, since it uses less digits than its factorization.

5271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its digits is 70, while the sum is 15.

The square root of 5271 is about 72.6016528737. The cubic root of 5271 is about 17.4032759059.

Adding to 5271 its reverse (1725), we get a palindrome (6996).

It can be divided in two parts, 527 and 1, that added together give a triangular number (528 = T₃₂).

The spelling of 5271 in words is "five thousand, two hundred seventy-one".