173868 has 12 divisors (see below), whose sum is σ = 405720. Its totient is φ = 57952.

The previous prime is 173867. The next prime is 173891. The reversal of 173868 is 868371.

173868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (173861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7233 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (33810).

2¹⁷³⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

173868 is an abundant number, since it is smaller than the sum of its proper divisors (231852).

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

173868 is a wasteful number, since it uses less digits than its factorization.

173868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14494 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 173868 is about 416.9748193836. The cubic root of 173868 is about 55.8135807953.

It can be divided in two parts, 17 and 3868, that multiplied together give a palindrome (65756).

The spelling of 173868 in words is "one hundred seventy-three thousand, eight hundred sixty-eight".