8523 has 6 divisors (see below), whose sum is σ = 12324. Its totient is φ = 5676.

The previous prime is 8521. The next prime is 8527. The reversal of 8523 is 3258.

Added to its reverse (3258) it gives a triangular number (11781 = T₁₅₃).

It is not a de Polignac number, because 8523 - 2¹ = 8521 is a 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 = 8496 and 8505.

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 5 ways as a sum of consecutive naturals, for example, 465 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (2054).

8523 is a deficient number, since it is larger than the sum of its proper divisors (3801).

8523 is a wasteful number, since it uses less digits than its factorization.

8523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 950 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8523 is about 92.3200953206. The cubic root of 8523 is about 20.4266663959.

Adding to 8523 its reverse (3258), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 852 and 3, that multiplied together give a triangular number (2556 = T₇₁).

The spelling of 8523 in words is "eight thousand, five hundred twenty-three".