4557 has 12 divisors (see below), whose sum is σ = 7296. Its totient is φ = 2520.

The previous prime is 4549. The next prime is 4561. The reversal of 4557 is 7554.

4557 is nontrivially palindromic in base 6.

4557 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 4557 - 2³ = 4549 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 68-th Hogben number.

4557 is an undulating number in base 5.

It is a plaindrome in base 10, base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507) by changing a digit.

It is a nontrivial repunit in base 67.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (608).

2⁴⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

4557 is a deficient number, since it is larger than the sum of its proper divisors (2739).

4557 is a wasteful number, since it uses less digits than its factorization.

4557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 4557 is about 67.5055553270. The cubic root of 4557 is about 16.5790513314.

It can be divided in two parts, 4 and 557, that added together give a triangular number (561 = T₃₃).

The spelling of 4557 in words is "four thousand, five hundred fifty-seven".