4189 has 4 divisors (see below), whose sum is σ = 4320. Its totient is φ = 4060.

The previous prime is 4177. The next prime is 4201. The reversal of 4189 is 9814.

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 a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (4177) and next prime (4201).

It is a cyclic number.

It is not a de Polignac number, because 4189 - 2⁵ = 4157 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Duffinian number.

4189 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129) 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, 24 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2⁴¹⁸⁹ is an apocalyptic number.

It is an amenable number.

4189 is a deficient number, since it is larger than the sum of its proper divisors (131).

4189 is an equidigital number, since it uses as much as digits as its factorization.

4189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its digits is 288, while the sum is 22.

The square root of 4189 is about 64.7224845011. The cubic root of 4189 is about 16.1201886573.

Subtracting 4189 from its reverse (9814), we obtain a square (5625 = 75²).

The spelling of 4189 in words is "four thousand, one hundred eighty-nine".