5166 has 24 divisors (see below), whose sum is σ = 13104. Its totient is φ = 1440.

The previous prime is 5153. The next prime is 5167. The reversal of 5166 is 6615.

Added to its reverse (6615) it gives a triangular number (11781 = T₁₅₃).

5166 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

5166 is an undulating number in base 9.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2⁵¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552).

5166 is an abundant number, since it is smaller than the sum of its proper divisors (7938).

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

5166 is a wasteful number, since it uses less digits than its factorization.

5166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 53 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 5166 is about 71.8748913043. The cubic root of 5166 is about 17.2869403705.

Adding to 5166 its sum of digits (18), we get a square (5184 = 72²).

Adding to 5166 its reverse (6615), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 5 and 166, that added together give a palindrome (171).

The spelling of 5166 in words is "five thousand, one hundred sixty-six".