8527 has 2 divisors, whose sum is σ = 8528. Its totient is φ = 8526.

The previous prime is 8521. The next prime is 8537. The reversal of 8527 is 7258.

8527 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8527 is a prime.

It is a Chen prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 8498 and 8507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8521) by changing a digit.

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 as a sum of consecutive naturals, namely, 4263 + 4264.

It is an arithmetic number, because the mean of its divisors is an integer number (4264).

2⁸⁵²⁷ is an apocalyptic number.

8527 is a deficient number, since it is larger than the sum of its proper divisors (1).

8527 is an equidigital number, since it uses as much as digits as its factorization.

8527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 560, while the sum is 22.

The square root of 8527 is about 92.3417565352. The cubic root of 8527 is about 20.4298614323.

It can be divided in two parts, 8 and 527, that added together give a palindrome (535).

The spelling of 8527 in words is "eight thousand, five hundred twenty-seven".