8189 has 4 divisors (see below), whose sum is σ = 8640. Its totient is φ = 7740.

The previous prime is 8179. The next prime is 8191. The reversal of 8189 is 9818.

8189 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 9818 = 2 ⋅4909.

It is a cyclic number.

It is not a de Polignac number, because 8189 - 2⁸ = 7933 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8179) 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, 197 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

It is an amenable number.

8189 is a deficient number, since it is larger than the sum of its proper divisors (451).

8189 is a wasteful number, since it uses less digits than its factorization.

8189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

The product of its digits is 576, while the sum is 26.

The square root of 8189 is about 90.4930936591. The cubic root of 8189 is about 20.1562757146.

The spelling of 8189 in words is "eight thousand, one hundred eighty-nine".