10785825 has 72 divisors (see below), whose sum is σ = 21600800. Its totient is φ = 5261760.

The previous prime is 10785811. The next prime is 10785839. The reversal of 10785825 is 52858701.

10785825 is a `hidden beast` number, since 1 + 0 + 78 + 582 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10785811) and next prime (10785839).

It is not a de Polignac number, because 10785825 - 2⁴ = 10785809 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10785825.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371911 + ... + 371939.

Almost surely, 2^10785825 is an apocalyptic number.

10785825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10785825 is an abundant number, since it is smaller than the sum of its proper divisors (10814975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10785825 is a wasteful number, since it uses less digits than its factorization.

10785825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 10785825 is about 3284.1779793428. The cubic root of 10785825 is about 220.9451417519.

It can be divided in two parts, 1078 and 5825, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 10785825 in words is "ten million, seven hundred eighty-five thousand, eight hundred twenty-five".