648125 has 20 divisors (see below), whose sum is σ = 871596. Its totient is φ = 480000.

The previous prime is 648119. The next prime is 648133. The reversal of 648125 is 521846.

It can be written as a sum of positive squares in 10 ways, for example, as 573049 + 75076 = 757^2 + 274^2 .

It is not a de Polignac number, because 648125 - 2⁶ = 648061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 648094 and 648103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648125.

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 19 ways as a sum of consecutive naturals, for example, 10595 + ... + 10655.

2⁶⁴⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

648125 is a deficient number, since it is larger than the sum of its proper divisors (223471).

648125 is an equidigital number, since it uses as much as digits as its factorization.

648125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 648125 is about 805.0621094052. The cubic root of 648125 is about 86.5405380952.

The spelling of 648125 in words is "six hundred forty-eight thousand, one hundred twenty-five".