4527 has 6 divisors (see below), whose sum is σ = 6552. Its totient is φ = 3012.

The previous prime is 4523. The next prime is 4547. The reversal of 4527 is 7254.

Added to its reverse (7254) it gives a triangular number (11781 = T₁₅₃).

It is a happy number.

It is not a de Polignac number, because 4527 - 2² = 4523 is a prime.

It is a super-3 number, since 3×4527³ = 278325333549, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4527.

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 5 ways as a sum of consecutive naturals, for example, 243 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

4527 is a deficient number, since it is larger than the sum of its proper divisors (2025).

4527 is a wasteful number, since it uses less digits than its factorization.

4527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 506 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4527 is about 67.2829844760. The cubic root of 4527 is about 16.5425896977.

Adding to 4527 its reverse (7254), we get a triangular number (11781 = T₁₅₃).

The spelling of 4527 in words is "four thousand, five hundred twenty-seven".