173205 has 16 divisors (see below), whose sum is σ = 308160. Its totient is φ = 92304.

The previous prime is 173191. The next prime is 173207. The reversal of 173205 is 502371.

173205 is nontrivially palindromic in base 2 and base 8.

173205 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 173205 - 2⁴ = 173189 is a prime.

173205 is strictly pandigital in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173205.

It is not an unprimeable number, because it can be changed into a prime (173207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (19260).

2¹⁷³²⁰⁵ is an apocalyptic number.

173205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

173205 is a deficient number, since it is larger than the sum of its proper divisors (134955).

173205 is a wasteful number, since it uses less digits than its factorization.

173205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 173205 is about 416.1790480070. The cubic root of 173205 is about 55.7425469469.

Adding to 173205 its reverse (502371), we get a palindrome (675576).

It can be divided in two parts, 173 and 205, that added together give a triangular number (378 = T₂₇).

The spelling of 173205 in words is "one hundred seventy-three thousand, two hundred five".