10806825 has 24 divisors (see below), whose sum is σ = 18079200. Its totient is φ = 5695360.

The previous prime is 10806799. The next prime is 10806869. The reversal of 10806825 is 52860801.

It is not a de Polignac number, because 10806825 - 2⁵ = 10806793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10806792 and 10806801.

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 23 ways as a sum of consecutive naturals, for example, 5866 + ... + 7484.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 2^10806825 is an apocalyptic number.

10806825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10806825 is a deficient number, since it is larger than the sum of its proper divisors (7272375).

10806825 is a wasteful number, since it uses less digits than its factorization.

10806825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1716 counting only the distinct ones).

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

The square root of 10806825 is about 3287.3735717134. The cubic root of 10806825 is about 221.0884421784.

The spelling of 10806825 in words is "ten million, eight hundred six thousand, eight hundred twenty-five".