5170 has 16 divisors (see below), whose sum is σ = 10368. Its totient is φ = 1840.

The previous prime is 5167. The next prime is 5171. The reversal of 5170 is 715.

5170 = T₁₂ + T₁₃ + ... + T₃₁.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 5170.

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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2⁵¹⁷⁰ is an apocalyptic number.

5170 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (5184).

5170 is a wasteful number, since it uses less digits than its factorization.

5170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 5170 is about 71.9027120490. The cubic root of 5170 is about 17.2914009411.

Adding to 5170 its reverse (715), we get a palindrome (5885).

It can be divided in two parts, 51 and 70, that multiplied together give a triangular number (3570 = T₈₄).

The spelling of 5170 in words is "five thousand, one hundred seventy".