8536 has 16 divisors (see below), whose sum is σ = 17640. Its totient is φ = 3840.

The previous prime is 8527. The next prime is 8537. The reversal of 8536 is 6358.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 8³ + 3⁵ + 5 + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 136.

2⁸⁵³⁶ 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 8536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820).

8536 is an abundant number, since it is smaller than the sum of its proper divisors (9104).

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

8536 is a wasteful number, since it uses less digits than its factorization.

8536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 8536 is about 92.3904756996. The cubic root of 8536 is about 20.4370466128.

Adding to 8536 its sum of digits (22), we get a palindrome (8558).

It can be divided in two parts, 85 and 36, that added together give a palindrome (121).

The spelling of 8536 in words is "eight thousand, five hundred thirty-six".