7005825 has 48 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 3663360.

The previous prime is 7005821. The next prime is 7005827. The reversal of 7005825 is 5285007.

It is a happy number.

It is not a de Polignac number, because 7005825 - 2² = 7005821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7005821) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 65422 + ... + 65528.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^7005825 is an apocalyptic number.

7005825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7005825 is a deficient number, since it is larger than the sum of its proper divisors (6118335).

7005825 is a wasteful number, since it uses less digits than its factorization.

7005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 7005825 is about 2646.8519036773. The cubic root of 7005825 is about 191.3461646332.

The spelling of 7005825 in words is "seven million, five thousand, eight hundred twenty-five".