6557985 has 48 divisors (see below), whose sum is σ = 13178880. Its totient is φ = 2954880.

The previous prime is 6557981. The next prime is 6558007. The reversal of 6557985 is 5897556.

6557985 is a `hidden beast` number, since 6 + 557 + 98 + 5 = 666.

It is not a de Polignac number, because 6557985 - 2² = 6557981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is a d-powerful number, because it can be written as 6⁶ + 5⁶ + 5⁷ + 7⁸ + 9 + 8⁶ + 5⁸ .

Its product of digits (378000) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 6557985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6557981) 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 47 ways as a sum of consecutive naturals, for example, 34240 + ... + 34430.

It is an arithmetic number, because the mean of its divisors is an integer number (274560).

Almost surely, 2^6557985 is an apocalyptic number.

It is an amenable number.

6557985 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6557985 is a wasteful number, since it uses less digits than its factorization.

6557985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 315 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 6557985 is about 2560.8563020990. The cubic root of 6557985 is about 187.1788636283.

The spelling of 6557985 in words is "six million, five hundred fifty-seven thousand, nine hundred eighty-five".