173268 has 18 divisors (see below), whose sum is σ = 438074. Its totient is φ = 57744.

The previous prime is 173267. The next prime is 173273. The reversal of 173268 is 862371.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 11664 = 402^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2371 + ... + 2442.

2¹⁷³²⁶⁸ is an apocalyptic number.

173268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

173268 is an abundant number, since it is smaller than the sum of its proper divisors (264806).

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

173268 is a wasteful number, since it uses less digits than its factorization.

173268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4818 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 173268 is about 416.2547297029. The cubic root of 173268 is about 55.7493045554.

It can be divided in two parts, 173 and 268, that multiplied together give a palindrome (46364).

The spelling of 173268 in words is "one hundred seventy-three thousand, two hundred sixty-eight".