1003816 has 48 divisors (see below), whose sum is σ = 2226420. Its totient is φ = 422400.

The previous prime is 1003787. The next prime is 1003817. The reversal of 1003816 is 6183001.

1003816 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 23716 = 990^2 + 154^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1003793 and 1003802.

It is not an unprimeable number, because it can be changed into a prime (1003817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16426 + ... + 16486.

2^1003816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113210).

1003816 is an abundant number, since it is smaller than the sum of its proper divisors (1222604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003816 is a wasteful number, since it uses less digits than its factorization.

1003816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1003816 is about 1001.9061832327. The cubic root of 1003816 is about 100.1270385437.

Adding to 1003816 its reverse (6183001), we get a palindrome (7186817).

It can be divided in two parts, 100 and 3816, that added together give a triangular number (3916 = T₈₈).

The spelling of 1003816 in words is "one million, three thousand, eight hundred sixteen".