4524 has 24 divisors (see below), whose sum is σ = 11760. Its totient is φ = 1344.

The previous prime is 4523. The next prime is 4547. The reversal of 4524 is 4254.

Added to its reverse (4254) it gives a triangular number (8778 = T₁₃₂).

4524 is nontrivially palindromic in base 11.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (490).

2⁴⁵²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880).

4524 is an abundant number, since it is smaller than the sum of its proper divisors (7236).

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

4524 is a wasteful number, since it uses less digits than its factorization.

4524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 47 counting only the distinct ones).

The product of its digits is 160, while the sum is 15.

The square root of 4524 is about 67.2606868832. The cubic root of 4524 is about 16.5389346844.

Adding to 4524 its reverse (4254), we get a palindrome (8778).

It can be divided in two parts, 4 and 524, that added together give a triangular number (528 = T₃₂).

The spelling of 4524 in words is "four thousand, five hundred twenty-four".