30004 has 12 divisors (see below), whose sum is σ = 56644. Its totient is φ = 13824.

The previous prime is 29989. The next prime is 30011. The reversal of 30004 is 40003.

It can be written as a sum of positive squares in 2 ways, for example, as 19600 + 10404 = 140^2 + 102^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

30004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 340.

2³⁰⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

30004 is a deficient number, since it is larger than the sum of its proper divisors (26640).

30004 is a wasteful number, since it uses less digits than its factorization.

30004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 30004 is about 173.2166273774. The cubic root of 30004 is about 31.0737059904.

Subtracting from 30004 its product of nonzero digits (12), we obtain a palindrome (29992).

Adding to 30004 its reverse (40003), we get a palindrome (70007).

Subtracting 30004 from its reverse (40003), we obtain a palindrome (9999).

The spelling of 30004 in words is "thirty thousand, four", and thus it is an eban number.