4536 has 40 divisors (see below), whose sum is σ = 14520. Its totient is φ = 1296.

The previous prime is 4523. The next prime is 4547. The reversal of 4536 is 6354.

It is a happy number.

4536 is nontrivially palindromic in base 5.

4536 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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

It is an Ulam number.

Its product of digits (360) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6 and base 9.

It is a zygodrome in base 6.

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 4536.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 645 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (363).

4536 is a Friedman number, since it can be written as 56*3^4, using all its digits and the basic arithmetic operations.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260).

4536 is an abundant number, since it is smaller than the sum of its proper divisors (9984).

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

4536 is a wasteful number, since it uses less digits than its factorization.

4536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 12 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 4536 is about 67.3498329619. The cubic root of 4536 is about 16.5535450583.

Adding to 4536 its sum of digits (18), we get a palindrome (4554).

4536 divided by its sum of digits (18) gives a palindrome (252).

It can be divided in two parts, 45 and 36, that added together give a 4-th power (81 = 3^{4}).

The spelling of 4536 in words is "four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536

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