171864 has 96 divisors (see below), whose sum is σ = 599040. Its totient is φ = 43200.

The previous prime is 171863. The next prime is 171869. The reversal of 171864 is 468171.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529 + ... + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2¹⁷¹⁸⁶⁴ is an apocalyptic number.

171864 is a gapful number since it is divisible by the number (14) 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 171864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

171864 is an abundant number, since it is smaller than the sum of its proper divisors (427176).

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

171864 is a wasteful number, since it uses less digits than its factorization.

171864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 171864 is about 414.5648320830. The cubic root of 171864 is about 55.5983161162.

It can be divided in two parts, 171 and 864, that added together give a triangular number (1035 = T₄₅).

The spelling of 171864 in words is "one hundred seventy-one thousand, eight hundred sixty-four".