271125 has 24 divisors (see below), whose sum is σ = 490776. Its totient is φ = 144000.

The previous prime is 271109. The next prime is 271127. The reversal of 271125 is 521172.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 269361 = 42^2 + 519^2 .

It is not a de Polignac number, because 271125 - 2⁴ = 271109 is a prime.

It is a Curzon number.

271125 is a lucky number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 271098 and 271107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271127) 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 23 ways as a sum of consecutive naturals, for example, 1005 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (20449).

2²⁷¹¹²⁵ is an apocalyptic number.

271125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

271125 is a deficient number, since it is larger than the sum of its proper divisors (219651).

271125 is a wasteful number, since it uses less digits than its factorization.

271125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 271125 is about 520.6966487313. The cubic root of 271125 is about 64.7226844229.

Adding to 271125 its reverse (521172), we get a palindrome (792297).

Subtracting 271125 from its reverse (521172), we obtain a cube (250047 = 63³).

The spelling of 271125 in words is "two hundred seventy-one thousand, one hundred twenty-five".