173856 has 24 divisors (see below), whose sum is σ = 456624. Its totient is φ = 57920.

The previous prime is 173851. The next prime is 173861. The reversal of 173856 is 658371.

It is an interprime number because it is at equal distance from previous prime (173851) and next prime (173861).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (173851) 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 3 ways as a sum of consecutive naturals, for example, 810 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (19026).

2¹⁷³⁸⁵⁶ is an apocalyptic number.

173856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

173856 is an abundant number, since it is smaller than the sum of its proper divisors (282768).

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

173856 is a wasteful number, since it uses less digits than its factorization.

173856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1816 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 173856 is about 416.9604297772. The cubic root of 173856 is about 55.8122967208.

It can be divided in two parts, 17385 and 6, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 173856 in words is "one hundred seventy-three thousand, eight hundred fifty-six".