173313 has 24 divisors (see below), whose sum is σ = 300960. Its totient is φ = 98280.

The previous prime is 173309. The next prime is 173347. The reversal of 173313 is 313371.

It is not a de Polignac number, because 173313 - 2² = 173309 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (173713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2¹⁷³³¹³ is an apocalyptic number.

It is an amenable number.

173313 is a deficient number, since it is larger than the sum of its proper divisors (127647).

173313 is a wasteful number, since it uses less digits than its factorization.

173313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 173313 is about 416.3087796336. The cubic root of 173313 is about 55.7541304158.

Adding to 173313 its reverse (313371), we get a palindrome (486684).

The spelling of 173313 in words is "one hundred seventy-three thousand, three hundred thirteen".