10009825 has 24 divisors (see below), whose sum is σ = 14499072. Its totient is φ = 6712320.

The previous prime is 10009823. The next prime is 10009871. The reversal of 10009825 is 52890001.

10009825 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 10009825 - 2¹ = 10009823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 10009825.

It is not an unprimeable number, because it can be changed into a prime (10009823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7617 + ... + 8833.

It is an arithmetic number, because the mean of its divisors is an integer number (604128).

Almost surely, 2^10009825 is an apocalyptic number.

It is an amenable number.

10009825 is a deficient number, since it is larger than the sum of its proper divisors (4489247).

10009825 is a wasteful number, since it uses less digits than its factorization.

10009825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10009825 is about 3163.8307476855. The cubic root of 10009825 is about 215.5140036442.

Adding to 10009825 its reverse (52890001), we get a palindrome (62899826).

The spelling of 10009825 in words is "ten million, nine thousand, eight hundred twenty-five".