1003667 has 6 divisors (see below), whose sum is σ = 1167588. Its totient is φ = 860244.

The previous prime is 1003631. The next prime is 1003679. The reversal of 1003667 is 7663001.

1003667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003667 - 2⁸ = 1003411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10193 + ... + 10290.

It is an arithmetic number, because the mean of its divisors is an integer number (194598).

2^1003667 is an apocalyptic number.

1003667 is a deficient number, since it is larger than the sum of its proper divisors (163921).

1003667 is an equidigital number, since it uses as much as digits as its factorization.

1003667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20497 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1003667 is about 1001.8318222137. The cubic root of 1003667 is about 100.1220842271.

Adding to 1003667 its reverse (7663001), we get a palindrome (8666668).

The spelling of 1003667 in words is "one million, three thousand, six hundred sixty-seven".