8526 has 24 divisors (see below), whose sum is σ = 20520. Its totient is φ = 2352.

The previous prime is 8521. The next prime is 8527. The reversal of 8526 is 6258.

It is a happy number.

It is a super-3 number, since 3×8526³ = 1859333266728, which contains 333 as substring.

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

8526 is a Rhonda number in base 10.

Its product of digits (480) is a multiple of the sum of its prime factors (48).

It is a Curzon number.

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 8526.

It is not an unprimeable number, because it can be changed into a prime (8521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2⁸⁵²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260).

8526 is an abundant number, since it is smaller than the sum of its proper divisors (11994).

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

8526 is a wasteful number, since it uses less digits than its factorization.

8526 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 480, while the sum is 21.

The square root of 8526 is about 92.3363417079. The cubic root of 8526 is about 20.4290627669.

8526 divided by its sum of digits (21) gives a triangular number (406 = T₂₈).

It can be divided in two parts, 852 and 6, that added together give a palindrome (858).

The spelling of 8526 in words is "eight thousand, five hundred twenty-six".