3189 has 4 divisors (see below), whose sum is σ = 4256. Its totient is φ = 2124.

The previous prime is 3187. The next prime is 3191. The reversal of 3189 is 9813.

3189 = T₂₂ + T₂₃ + ... + T₃₀.

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: 9813 = 3 ⋅3271.

It is an interprime number because it is at equal distance from previous prime (3187) and next prime (3191).

It is not a de Polignac number, because 3189 - 2¹ = 3187 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

2³¹⁸⁹ is an apocalyptic number.

It is an amenable number.

3189 is a deficient number, since it is larger than the sum of its proper divisors (1067).

3189 is a wasteful number, since it uses less digits than its factorization.

3189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066.

The product of its digits is 216, while the sum is 21.

The square root of 3189 is about 56.4712316140. The cubic root of 3189 is about 14.7192214656.

It can be divided in two parts, 31 and 89, that added together give a triangular number (120 = T₁₅).

The spelling of 3189 in words is "three thousand, one hundred eighty-nine".