171828 has 48 divisors (see below), whose sum is σ = 468160. Its totient is φ = 54432.

The previous prime is 171827. The next prime is 171851. The reversal of 171828 is 828171.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171823) 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, 3975 + ... + 4017.

2¹⁷¹⁸²⁸ is an apocalyptic number.

171828 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 171828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234080).

171828 is an abundant number, since it is smaller than the sum of its proper divisors (296332).

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

171828 is a wasteful number, since it uses less digits than its factorization.

171828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

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

The square root of 171828 is about 414.5214107860. The cubic root of 171828 is about 55.5944338233.

Adding to 171828 its reverse (828171), we get a palindrome (999999).

It can be divided in two parts, 171 and 828, that added together give a palindrome (999).

The spelling of 171828 in words is "one hundred seventy-one thousand, eight hundred twenty-eight".