5124 has 24 divisors (see below), whose sum is σ = 13888. Its totient is φ = 1440.

The previous prime is 5119. The next prime is 5147. The reversal of 5124 is 4215.

5124 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (12).

5124 is an undulating number in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 114.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944).

5124 is an abundant number, since it is smaller than the sum of its proper divisors (8764).

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

5124 is a wasteful number, since it uses less digits than its factorization.

5124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 5124 is about 71.5821206727. The cubic root of 5124 is about 17.2399647575.

Adding to 5124 its reverse (4215), we get a palindrome (9339).

Subtracting from 5124 its reverse (4215), we obtain a palindrome (909).

It can be divided in two parts, 512 and 4, that multiplied together give a 11-th power (2048 = 2¹¹).

The spelling of 5124 in words is "five thousand, one hundred twenty-four".