271971 has 16 divisors (see below), whose sum is σ = 460800. Its totient is φ = 155304.

The previous prime is 271969. The next prime is 271981. The reversal of 271971 is 179172.

It is not a de Polignac number, because 271971 - 2¹ = 271969 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (271981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2²⁷¹⁹⁷¹ is an apocalyptic number.

271971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

271971 is a deficient number, since it is larger than the sum of its proper divisors (188829).

271971 is a wasteful number, since it uses less digits than its factorization.

271971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1449 counting only the distinct ones).

The product of its digits is 882, while the sum is 27.

The square root of 271971 is about 521.5083891943. The cubic root of 271971 is about 64.7899332785.

The spelling of 271971 in words is "two hundred seventy-one thousand, nine hundred seventy-one".