30003 has 8 divisors (see below), whose sum is σ = 40848. Its totient is φ = 19584.

The previous prime is 29989. The next prime is 30011.

30003 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 30003 - 2¹⁰ = 28979 is a prime.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 29973 and 30000.

It is not an unprimeable number, because it can be changed into a prime (30013) 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, 151 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (5106).

2³⁰⁰⁰³ is an apocalyptic number.

30003 is a deficient number, since it is larger than the sum of its proper divisors (10845).

30003 is a wasteful number, since it uses less digits than its factorization.

30003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 9, while the sum is 6.

The square root of 30003 is about 173.2137407944. The cubic root of 30003 is about 31.0733607692.

It can be divided in two parts, 3000 and 3, that added together give a palindrome (3003).

The spelling of 30003 in words is "thirty thousand, three".