271713 has 8 divisors (see below), whose sum is σ = 390208. Its totient is φ = 167184.

The previous prime is 271703. The next prime is 271723. The reversal of 271713 is 317172.

It is an interprime number because it is at equal distance from previous prime (271703) and next prime (271723).

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

It is not a de Polignac number, because 271713 - 2¹⁰ = 270689 is a prime.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 271713.

It is not an unprimeable number, because it can be changed into a prime (271703) 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, 3445 + ... + 3522.

It is an arithmetic number, because the mean of its divisors is an integer number (48776).

2²⁷¹⁷¹³ is an apocalyptic number.

It is an amenable number.

271713 is a deficient number, since it is larger than the sum of its proper divisors (118495).

271713 is a wasteful number, since it uses less digits than its factorization.

271713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983.

The product of its digits is 294, while the sum is 21.

The square root of 271713 is about 521.2609711076. The cubic root of 271713 is about 64.7694395600.

Adding to 271713 its reverse (317172), we get a palindrome (588885).

The spelling of 271713 in words is "two hundred seventy-one thousand, seven hundred thirteen".