2003825 has 6 divisors (see below), whose sum is σ = 2484774. Its totient is φ = 1603040.

The previous prime is 2003819. The next prime is 2003839. The reversal of 2003825 is 5283002.

It can be written as a sum of positive squares in 3 ways, for example, as 667489 + 1336336 = 817^2 + 1156^2 .

It is not a de Polignac number, because 2003825 - 2⁶ = 2003761 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003797 and 2003806.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40052 + ... + 40101.

It is an arithmetic number, because the mean of its divisors is an integer number (414129).

2^2003825 is an apocalyptic number.

2003825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2003825 is a deficient number, since it is larger than the sum of its proper divisors (480949).

2003825 is an equidigital number, since it uses as much as digits as its factorization.

2003825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80163 (or 80158 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2003825 is about 1415.5652581213. The cubic root of 2003825 is about 126.0723738068.

Adding to 2003825 its reverse (5283002), we get a palindrome (7286827).

The spelling of 2003825 in words is "two million, three thousand, eight hundred twenty-five".