173838 has 16 divisors (see below), whose sum is σ = 397440. Its totient is φ = 49656.

The previous prime is 173827. The next prime is 173839. The reversal of 173838 is 838371.

173838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2¹⁷³⁸³⁸ is an apocalyptic number.

173838 is an abundant number, since it is smaller than the sum of its proper divisors (223602).

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

173838 is a wasteful number, since it uses less digits than its factorization.

173838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151.

The product of its digits is 4032, while the sum is 30.

The square root of 173838 is about 416.9388444364. The cubic root of 173838 is about 55.8103704984.

It can be divided in two parts, 17383 and 8, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 173838 in words is "one hundred seventy-three thousand, eight hundred thirty-eight".