4089 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 2576.

The previous prime is 4079. The next prime is 4091. The reversal of 4089 is 9804.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4089 - 2⁴ = 4073 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 4, base 8, base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁴⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

4089 is a deficient number, since it is larger than the sum of its proper divisors (1671).

4089 is a wasteful number, since it uses less digits than its factorization.

4089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4089 is about 63.9452891150. The cubic root of 4089 is about 15.9908802195.

The spelling of 4089 in words is "four thousand, eighty-nine".