30005 has 8 divisors (see below), whose sum is σ = 38232. Its totient is φ = 22528.

The previous prime is 29989. The next prime is 30011. The reversal of 30005 is 50003.

It can be written as a sum of positive squares in 4 ways, for example, as 5041 + 24964 = 71^2 + 158^2 .

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 30005 - 2⁴ = 29989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29974 and 30001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5) 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, 92 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (4779).

2³⁰⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

30005 is a deficient number, since it is larger than the sum of its proper divisors (8227).

30005 is a wasteful number, since it uses less digits than its factorization.

30005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 30005 is about 173.2195139123. The cubic root of 30005 is about 31.0740512039.

Adding to 30005 its reverse (50003), we get a palindrome (80008).

The spelling of 30005 in words is "thirty thousand, five".