5172 has 12 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1720.

The previous prime is 5171. The next prime is 5179. The reversal of 5172 is 2715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171) 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 3 ways as a sum of consecutive naturals, for example, 204 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁵¹⁷² is an apocalyptic number.

It is an amenable number.

5172 is an abundant number, since it is smaller than the sum of its proper divisors (6924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

5172 is a wasteful number, since it uses less digits than its factorization.

5172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 5172 is about 71.9166183855. The cubic root of 5172 is about 17.2936303636.

Adding to 5172 its reverse (2715), we get a palindrome (7887).

The spelling of 5172 in words is "five thousand, one hundred seventy-two".