4039 has 4 divisors (see below), whose sum is σ = 4624. Its totient is φ = 3456.

The previous prime is 4027. The next prime is 4049. The reversal of 4039 is 9304.

4039 = 10² + 11² + ... + 23².

It is a semiprime because it is the product of two primes.

It is a 7-Lehmer number, since φ(4039) divides (4039-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 4039 - 2⁵ = 4007 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 282 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (1156).

2⁴⁰³⁹ is an apocalyptic number.

4039 is a deficient number, since it is larger than the sum of its proper divisors (585).

4039 is an equidigital number, since it uses as much as digits as its factorization.

4039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 4039 is about 63.5531273817. The cubic root of 4039 is about 15.9254342870.

The spelling of 4039 in words is "four thousand, thirty-nine".