173217313 has 8 divisors (see below), whose sum is σ = 178067240. Its totient is φ = 168376320.

The previous prime is 173217299. The next prime is 173217337. The reversal of 173217313 is 313712371.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 172738449 = 692^2 + 13143^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 173217313 - 2⁹ = 173216801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (173217013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63073 + ... + 65761.

It is an arithmetic number, because the mean of its divisors is an integer number (22258405).

Almost surely, 2^173217313 is an apocalyptic number.

It is an amenable number.

173217313 is a deficient number, since it is larger than the sum of its proper divisors (4849927).

173217313 is a wasteful number, since it uses less digits than its factorization.

173217313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467.

The product of its digits is 2646, while the sum is 28.

The square root of 173217313 is about 13161.2048460618. The cubic root of 173217313 is about 557.4386781272.

Adding to 173217313 its reverse (313712371), we get a palindrome (486929684).

The spelling of 173217313 in words is "one hundred seventy-three million, two hundred seventeen thousand, three hundred thirteen".