171288 has 64 divisors (see below), whose sum is σ = 520800. Its totient is φ = 51840.

The previous prime is 171271. The next prime is 171293. The reversal of 171288 is 882171.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 171288 = 17³ + 55³ = 24³ + 54³.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

171288 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 15 ways as a sum of consecutive naturals, for example, 2778 + ... + 2838.

2¹⁷¹²⁸⁸ is an apocalyptic number.

171288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

171288 is an abundant number, since it is smaller than the sum of its proper divisors (349512).

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

171288 is a wasteful number, since it uses less digits than its factorization.

171288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 171288 is about 413.8695446635. The cubic root of 171288 is about 55.5361342485.

It can be divided in two parts, 1 and 71288, that added together give a square (71289 = 267²).

The spelling of 171288 in words is "one hundred seventy-one thousand, two hundred eighty-eight".