1005003 has 6 divisors (see below), whose sum is σ = 1451684. Its totient is φ = 669996.

The previous prime is 1004987. The next prime is 1005007. The reversal of 1005003 is 3005001.

It is not a de Polignac number, because 1005003 - 2⁴ = 1004987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111667 = 1005003 / (1 + 0 + 0 + 5 + 0 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55825 + ... + 55842.

2^1005003 is an apocalyptic number.

1005003 is a deficient number, since it is larger than the sum of its proper divisors (446681).

1005003 is a wasteful number, since it uses less digits than its factorization.

1005003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111673 (or 111670 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1005003 is about 1002.4983790511. The cubic root of 1005003 is about 100.1664893259.

The spelling of 1005003 in words is "one million, five thousand, three".