173538 has 24 divisors (see below), whose sum is σ = 389376. Its totient is φ = 55800.

The previous prime is 173531. The next prime is 173539. The reversal of 173538 is 835371.

173538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (173531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (16224).

2¹⁷³⁵³⁸ is an apocalyptic number.

173538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 173538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194688).

173538 is an abundant number, since it is smaller than the sum of its proper divisors (215838).

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

173538 is a wasteful number, since it uses less digits than its factorization.

173538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 173538 is about 416.5789240948. The cubic root of 173538 is about 55.7782471961.

The spelling of 173538 in words is "one hundred seventy-three thousand, five hundred thirty-eight".