10086825 has 24 divisors (see below), whose sum is σ = 19060288. Its totient is φ = 4610880.

The previous prime is 10086793. The next prime is 10086827. The reversal of 10086825 is 52868001.

10086825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10086825 - 2⁵ = 10086793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10086792 and 10086801.

It is not an unprimeable number, because it can be changed into a prime (10086827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9082 + ... + 10131.

Almost surely, 2^10086825 is an apocalyptic number.

10086825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10086825 is a deficient number, since it is larger than the sum of its proper divisors (8973463).

10086825 is a wasteful number, since it uses less digits than its factorization.

10086825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10086825 is about 3175.9762278707. The cubic root of 10086825 is about 216.0652023666.

The spelling of 10086825 in words is "ten million, eighty-six thousand, eight hundred twenty-five".