171768 has 32 divisors (see below), whose sum is σ = 455760. Its totient is φ = 53760.

The previous prime is 171763. The next prime is 171793. The reversal of 171768 is 867171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171761) by changing a digit.

171768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 618.

2¹⁷¹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227880).

171768 is an abundant number, since it is smaller than the sum of its proper divisors (283992).

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

171768 is a wasteful number, since it uses less digits than its factorization.

171768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 171768 is about 414.4490318483. The cubic root of 171768 is about 55.5879621300.

It can be divided in two parts, 171 and 768, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 171768 in words is "one hundred seventy-one thousand, seven hundred sixty-eight".