4173 has 8 divisors (see below), whose sum is σ = 6048. Its totient is φ = 2544.

The previous prime is 4159. The next prime is 4177. The reversal of 4173 is 3714.

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

It is not a de Polignac number, because 4173 - 2⁴ = 4157 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 4⁶ + 7² + 1 + 3³ .

4173 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

It is an amenable number.

4173 is a deficient number, since it is larger than the sum of its proper divisors (1875).

4173 is a wasteful number, since it uses less digits than its factorization.

4173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 84, while the sum is 15.

The square root of 4173 is about 64.5987615980. The cubic root of 4173 is about 16.0996386375.

Adding to 4173 its reverse (3714), we get a palindrome (7887).

The spelling of 4173 in words is "four thousand, one hundred seventy-three", and thus it is an iban number.