8613 has 16 divisors (see below), whose sum is σ = 14400. Its totient is φ = 5040.

The previous prime is 8609. The next prime is 8623. The reversal of 8613 is 3168.

Added to its reverse (3168) it gives a triangular number (11781 = T₁₅₃).

It is not a de Polignac number, because 8613 - 2² = 8609 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

2⁸⁶¹³ is an apocalyptic number.

It is an amenable number.

8613 is a deficient number, since it is larger than the sum of its proper divisors (5787).

8613 is a wasteful number, since it uses less digits than its factorization.

8613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 8613 is about 92.8062497895. The cubic root of 8613 is about 20.4983143567.

Adding to 8613 its reverse (3168), we get a triangular number (11781 = T₁₅₃).

Subtracting from 8613 its reverse (3168), we obtain a palindrome (5445).

It can be divided in two parts, 86 and 13, that added together give a palindrome (99).

The spelling of 8613 in words is "eight thousand, six hundred thirteen".