271116 has 36 divisors (see below), whose sum is σ = 727272. Its totient is φ = 84864.

The previous prime is 271109. The next prime is 271127. The reversal of 271116 is 611172.

271116 = T₁₂₈ + T₁₂₉ + ... + T₁₅₄.

271116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (20202).

2²⁷¹¹¹⁶ 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 271116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363636).

271116 is an abundant number, since it is smaller than the sum of its proper divisors (456156).

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

271116 is a wasteful number, since it uses less digits than its factorization.

271116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 271116 is about 520.6880063915. The cubic root of 271116 is about 64.7219682580.

Adding to 271116 its reverse (611172), we get a palindrome (882288).

The spelling of 271116 in words is "two hundred seventy-one thousand, one hundred sixteen".