3005125 has 16 divisors (see below), whose sum is σ = 3884400. Its totient is φ = 2318400.

The previous prime is 3005117. The next prime is 3005129. The reversal of 3005125 is 5215003.

It can be written as a sum of positive squares in 8 ways, for example, as 835396 + 2169729 = 914^2 + 1473^2 .

It is not a de Polignac number, because 3005125 - 2³ = 3005117 is a prime.

3005125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3005099 and 3005108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3211 + ... + 4039.

It is an arithmetic number, because the mean of its divisors is an integer number (242775).

Almost surely, 2^3005125 is an apocalyptic number.

It is an amenable number.

3005125 is a deficient number, since it is larger than the sum of its proper divisors (879275).

3005125 is an equidigital number, since it uses as much as digits as its factorization.

3005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 3005125 is about 1733.5296363201. The cubic root of 3005125 is about 144.3070384082.

The spelling of 3005125 in words is "three million, five thousand, one hundred twenty-five".