10066825 has 12 divisors (see below), whose sum is σ = 12536028. Its totient is φ = 8019200.

The previous prime is 10066807. The next prime is 10066829. The reversal of 10066825 is 52866001.

10066825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 163216 + 9903609 = 404^2 + 3147^2 .

It is not a de Polignac number, because 10066825 - 2²¹ = 7969673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10066793 and 10066802.

It is not an unprimeable number, because it can be changed into a prime (10066829) 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, 6309 + ... + 7741.

It is an arithmetic number, because the mean of its divisors is an integer number (1044669).

Almost surely, 2^10066825 is an apocalyptic number.

It is an amenable number.

10066825 is a deficient number, since it is larger than the sum of its proper divisors (2469203).

10066825 is a wasteful number, since it uses less digits than its factorization.

10066825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10066825 is about 3172.8260273769. The cubic root of 10066825 is about 215.9223043034.

The spelling of 10066825 in words is "ten million, sixty-six thousand, eight hundred twenty-five".