10003 has 4 divisors (see below), whose sum is σ = 11440. Its totient is φ = 8568.

The previous prime is 9973. The next prime is 10007. The reversal of 10003 is 30001.

It is a happy number.

10003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 30001 = 19 ⋅1579.

It is not a de Polignac number, because 10003 - 2⁹ = 9491 is a prime.

It is a Duffinian number.

10003 is a modest number, since divided by 3 gives 1 as remainder.

10003 is a lucky number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 9974 and 10001.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708 + ... + 721.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

2¹⁰⁰⁰³ is an apocalyptic number.

10003 is a deficient number, since it is larger than the sum of its proper divisors (1437).

10003 is an equidigital number, since it uses as much as digits as its factorization.

10003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436.

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 10003 is about 100.0149988752. The cubic root of 10003 is about 21.5465011196.

Adding to 10003 its reverse (30001), we get a palindrome (40004).

The spelling of 10003 in words is "ten thousand, three", and thus it is an iban number.