271312 has 20 divisors (see below), whose sum is σ = 543616. Its totient is φ = 131040.

The previous prime is 271289. The next prime is 271333. The reversal of 271312 is 213172.

It is a happy number.

271312 is an admirable number.

It is a super-2 number, since 2×271312² = 147220402688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 223 + ... + 769.

2²⁷¹³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271808).

271312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271312 is a wasteful number, since it uses less digits than its factorization.

271312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 271312 is about 520.8761849039. The cubic root of 271312 is about 64.7375611532.

Adding to 271312 its reverse (213172), we get a palindrome (484484).

The spelling of 271312 in words is "two hundred seventy-one thousand, three hundred twelve", and thus it is an iban number.