5005825 has 24 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 3585600.

The previous prime is 5005823. The next prime is 5005859. The reversal of 5005825 is 5285005.

It is not a de Polignac number, because 5005825 - 2¹ = 5005823 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5005825.

It is not an unprimeable number, because it can be changed into a prime (5005823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29892 + ... + 30058.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 2^5005825 is an apocalyptic number.

5005825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5005825 is a deficient number, since it is larger than the sum of its proper divisors (1868735).

5005825 is a wasteful number, since it uses less digits than its factorization.

5005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5005825 is about 2237.3701079616. The cubic root of 5005825 is about 171.0639729634.

The spelling of 5005825 in words is "five million, five thousand, eight hundred twenty-five".