10003825 has 12 divisors (see below), whose sum is σ = 13359388. Its totient is φ = 7387200.

The previous prime is 10003787. The next prime is 10003831. The reversal of 10003825 is 52830001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2214144 + 7789681 = 1488^2 + 2791^2 .

It is not a de Polignac number, because 10003825 - 2¹¹ = 10001777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15066 + ... + 15715.

Almost surely, 2^10003825 is an apocalyptic number.

It is an amenable number.

10003825 is a deficient number, since it is larger than the sum of its proper divisors (3355563).

10003825 is a wasteful number, since it uses less digits than its factorization.

10003825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30804 (or 30799 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10003825 is about 3162.8823879493. The cubic root of 10003825 is about 215.4709345439.

Adding to 10003825 its reverse (52830001), we get a palindrome (62833826).

The spelling of 10003825 in words is "ten million, three thousand, eight hundred twenty-five".