10219825 has 24 divisors (see below), whose sum is σ = 15802560. Its totient is φ = 6369600.

The previous prime is 10219819. The next prime is 10219841. The reversal of 10219825 is 52891201.

It is not a de Polignac number, because 10219825 - 2¹¹ = 10217777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10219793 and 10219802.

It is an unprimeable number.

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, 730 + ... + 4579.

It is an arithmetic number, because the mean of its divisors is an integer number (658440).

Almost surely, 2^10219825 is an apocalyptic number.

It is an amenable number.

10219825 is a deficient number, since it is larger than the sum of its proper divisors (5582735).

10219825 is a wasteful number, since it uses less digits than its factorization.

10219825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 10219825 is about 3196.8461020199. The cubic root of 10219825 is about 217.0107026087.

The spelling of 10219825 in words is "ten million, two hundred nineteen thousand, eight hundred twenty-five".