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1000003 is a prime number
BaseRepresentation
bin11110100001001000011
31212210202011
43310021003
5224000003
633233351
711333314
oct3641103
91783664
101000003
11623354
12402857
13290224
141c060b
1514b46d
hexf4243

1000003 has 2 divisors, whose sum is σ = 1000004. Its totient is φ = 1000002.

The previous prime is 999983. The next prime is 1000033. The reversal of 1000003 is 3000001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000003 - 29 = 999491 is a prime.

1000003 is a modest number, since divided by 3 gives 1 as remainder.

1000003 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 999956 and 1000001.

It is not a weakly prime, because it can be changed into another prime (1000033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500001 + 500002.

It is an arithmetic number, because the mean of its divisors is an integer number (500002).

21000003 is an apocalyptic number.

1000003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000003 is an equidigital number, since it uses as much as digits as its factorization.

1000003 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1000003 is about 1000.0014999989. The cubic root of 1000003 is about 100.0000999999. Note that the first 4 decimals are identical.

The spelling of 1000003 in words is "one million, three", and is thus an aban number and an uban number.