8538 has 8 divisors (see below), whose sum is σ = 17088. Its totient is φ = 2844.

The previous prime is 8537. The next prime is 8539. The reversal of 8538 is 8358.

It is an interprime number because it is at equal distance from previous prime (8537) and next prime (8539).

It is a sphenic number, since it is the product of 3 distinct primes.

8538 is an admirable number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8538.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 706 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (2136).

2⁸⁵³⁸ is an apocalyptic number.

8538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544).

8538 is a wasteful number, since it uses less digits than its factorization.

8538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428.

The product of its digits is 960, while the sum is 24.

The square root of 8538 is about 92.4012986922. The cubic root of 8538 is about 20.4386426336.

It can be divided in two parts, 853 and 8, that added together give a triangular number (861 = T₄₁).

The spelling of 8538 in words is "eight thousand, five hundred thirty-eight".