10405825 has 18 divisors (see below), whose sum is σ = 13629894. Its totient is φ = 7879680.

The previous prime is 10405799. The next prime is 10405873. The reversal of 10405825 is 52850401.

It can be written as a sum of positive squares in 3 ways, for example, as 1620529 + 8785296 = 1273^2 + 2964^2 .

It is not a de Polignac number, because 10405825 - 2⁷ = 10405697 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10405825.

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 17 ways as a sum of consecutive naturals, for example, 8449 + ... + 9601.

Almost surely, 2^10405825 is an apocalyptic number.

It is an amenable number.

10405825 is a deficient number, since it is larger than the sum of its proper divisors (3224069).

10405825 is a wasteful number, since it uses less digits than its factorization.

10405825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 10405825 is about 3225.8061008064. The cubic root of 10405825 is about 218.3193213366.

The spelling of 10405825 in words is "ten million, four hundred five thousand, eight hundred twenty-five".