30039 has 16 divisors (see below), whose sum is σ = 46080. Its totient is φ = 17280.

The previous prime is 30029. The next prime is 30047. The reversal of 30039 is 93003.

30039 is nontrivially palindromic in base 2, base 8 and base 16.

It is not a de Polignac number, because 30039 - 2⁹ = 29527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 984.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³⁰⁰³⁹ is an apocalyptic number.

30039 is the 93-rd nonagonal number.

30039 is a deficient number, since it is larger than the sum of its proper divisors (16041).

30039 is a wasteful number, since it uses less digits than its factorization.

30039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 30039 is about 173.3176274936. The cubic root of 30039 is about 31.0857839032.

The spelling of 30039 in words is "thirty thousand, thirty-nine".