30006 has 12 divisors (see below), whose sum is σ = 65052. Its totient is φ = 9996.

The previous prime is 29989. The next prime is 30011. The reversal of 30006 is 60003.

30006 = T₃₃ + T₃₄ + ... + T₅₉.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 30006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 816 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (5421).

2³⁰⁰⁰⁶ is an apocalyptic number.

30006 is an abundant number, since it is smaller than the sum of its proper divisors (35046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30006 is a wasteful number, since it uses less digits than its factorization.

30006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 30006 is about 173.2224003990. Note that the first 3 decimals coincide. The cubic root of 30006 is about 31.0743964098.

Adding to 30006 its reverse (60003), we get a palindrome (90009).

The spelling of 30006 in words is "thirty thousand, six", and thus it is an eban number.