271921 has 6 divisors (see below), whose sum is σ = 294630. Its totient is φ = 250848.

The previous prime is 271919. The next prime is 271927. The reversal of 271921 is 129172.

271921 = T₁₉₈ + T₁₉₉ + ... + T₂₁₀.

It can be written as a sum of positive squares in 3 ways, for example, as 26896 + 245025 = 164^2 + 495^2 .

It is not a de Polignac number, because 271921 - 2¹ = 271919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 271892 and 271901.

It is not an unprimeable number, because it can be changed into a prime (271927) 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 5 ways as a sum of consecutive naturals, for example, 636 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (49105).

2²⁷¹⁹²¹ is an apocalyptic number.

It is an amenable number.

271921 is a deficient number, since it is larger than the sum of its proper divisors (22709).

271921 is a wasteful number, since it uses less digits than its factorization.

271921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1622 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 271921 is about 521.4604491234. The cubic root of 271921 is about 64.7859626404.

The spelling of 271921 in words is "two hundred seventy-one thousand, nine hundred twenty-one".