271964 has 24 divisors (see below), whose sum is σ = 594048. Its totient is φ = 105840.

The previous prime is 271939. The next prime is 271967. The reversal of 271964 is 469172.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271967) by changing a digit.

271964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (24752).

2²⁷¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

271964 is an abundant number, since it is smaller than the sum of its proper divisors (322084).

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

271964 is a wasteful number, since it uses less digits than its factorization.

271964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 271964 is about 521.5016778496. The cubic root of 271964 is about 64.7893774184.

It can be divided in two parts, 27 and 1964, that added together give a palindrome (1991).

The spelling of 271964 in words is "two hundred seventy-one thousand, nine hundred sixty-four".