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4003 is a prime number
BaseRepresentation
bin111110100011
312111021
4332203
5112003
630311
714446
oct7643
95437
104003
11300a
122397
131a8c
14165d
1512bd
hexfa3

4003 has 2 divisors, whose sum is σ = 4004. Its totient is φ = 4002.

The previous prime is 4001. The next prime is 4007. The reversal of 4003 is 3004.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4003 - 21 = 4001 is a prime.

Together with 4001, it forms a pair of twin primes.

4003 is a lucky number.

It is a plaindrome in base 7 and base 15.

It is a nialpdrome in base 8 and base 16.

It is not a weakly prime, because it can be changed into another prime (4001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001 + 2002.

It is an arithmetic number, because the mean of its divisors is an integer number (2002).

4003 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003 is an equidigital number, since it uses as much as digits as its factorization.

4003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 4003 is about 63.2692658405. The cubic root of 4003 is about 15.8779780306.

Adding to 4003 its reverse (3004), we get a palindrome (7007).

Subtracting from 4003 its reverse (3004), we obtain a palindrome (999).

The spelling of 4003 in words is "four thousand, three", and thus it is an iban number.