1003663 has 8 divisors (see below), whose sum is σ = 1088208. Its totient is φ = 921984.

The previous prime is 1003631. The next prime is 1003679. The reversal of 1003663 is 3663001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1003663 - 2⁵ = 1003631 is a prime.

It is a Duffinian number.

1003663 is a modest number, since divided by 3663 gives 1 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1003663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 1417.

It is an arithmetic number, because the mean of its divisors is an integer number (136026).

2^1003663 is an apocalyptic number.

1003663 is a deficient number, since it is larger than the sum of its proper divisors (84545).

1003663 is a wasteful number, since it uses less digits than its factorization.

1003663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1003663 is about 1001.8298258686. The cubic root of 1003663 is about 100.1219512185.

Adding to 1003663 its reverse (3663001), we get a palindrome (4666664).

The spelling of 1003663 in words is "one million, three thousand, six hundred sixty-three".