6579625 has 16 divisors (see below), whose sum is σ = 8845200. Its totient is φ = 4857600.

The previous prime is 6579623. The next prime is 6579631. The reversal of 6579625 is 5269756.

It can be written as a sum of positive squares in 8 ways, for example, as 4260096 + 2319529 = 2064^2 + 1523^2 .

It is not a de Polignac number, because 6579625 - 2¹ = 6579623 is a prime.

6579625 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6579623) 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 15 ways as a sum of consecutive naturals, for example, 400 + ... + 3649.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 2^6579625 is an apocalyptic number.

6579625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6579625 is a deficient number, since it is larger than the sum of its proper divisors (2265575).

6579625 is a wasteful number, since it uses less digits than its factorization.

6579625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4067 counting only the distinct ones).

The product of its digits is 113400, while the sum is 40.

The square root of 6579625 is about 2565.0779715245. The cubic root of 6579625 is about 187.3845214857.

It can be divided in two parts, 65 and 79625, that multiplied together give a square (5175625 = 2275²).

The spelling of 6579625 in words is "six million, five hundred seventy-nine thousand, six hundred twenty-five".