171200 has 42 divisors (see below), whose sum is σ = 425196. Its totient is φ = 67840.

The previous prime is 171179. The next prime is 171203. The reversal of 171200 is 2171.

It is not an unprimeable number, because it can be changed into a prime (171203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1547 + ... + 1653.

2¹⁷¹²⁰⁰ is an apocalyptic number.

171200 is a gapful number since it is divisible by the number (10) 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 171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212598).

171200 is an abundant number, since it is smaller than the sum of its proper divisors (253996).

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

171200 is a wasteful number, since it uses less digits than its factorization.

171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 171200 is about 413.7632173115. The cubic root of 171200 is about 55.5266219709.

Adding to 171200 its reverse (2171), we get a palindrome (173371).

The spelling of 171200 in words is "one hundred seventy-one thousand, two hundred", and thus it is an iban number.