8537 has 2 divisors, whose sum is σ = 8538. Its totient is φ = 8536.

The previous prime is 8527. The next prime is 8539. The reversal of 8537 is 7358.

8537 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 256 = 91^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 8537 - 2⁴ = 8521 is a prime.

Together with 8539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (8539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4268 + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (4269).

2⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

8537 is a deficient number, since it is larger than the sum of its proper divisors (1).

8537 is an equidigital number, since it uses as much as digits as its factorization.

8537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840, while the sum is 23.

The square root of 8537 is about 92.3958873544. The cubic root of 8537 is about 20.4378446544.

It can be divided in two parts, 8 and 537, that added together give a palindrome (545).

The spelling of 8537 in words is "eight thousand, five hundred thirty-seven".