173205313 has 16 divisors (see below), whose sum is σ = 182710080. Its totient is φ = 163971136.

The previous prime is 173205301. The next prime is 173205317. The reversal of 173205313 is 313502371.

It is a cyclic number.

It is not a de Polignac number, because 173205313 - 2²⁵ = 139650881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173205317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546231 + ... + 546547.

It is an arithmetic number, because the mean of its divisors is an integer number (11419380).

Almost surely, 2^173205313 is an apocalyptic number.

It is an amenable number.

173205313 is a deficient number, since it is larger than the sum of its proper divisors (9504767).

173205313 is a wasteful number, since it uses less digits than its factorization.

173205313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 173205313 is about 13160.7489528522. The cubic root of 173205313 is about 557.4258052442.

Adding to 173205313 its reverse (313502371), we get a palindrome (486707684).

The spelling of 173205313 in words is "one hundred seventy-three million, two hundred five thousand, three hundred thirteen".