6827985 has 12 divisors (see below), whose sum is σ = 11835252. Its totient is φ = 3641568.

The previous prime is 6827983. The next prime is 6827993. The reversal of 6827985 is 5897286.

6827985 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 2954961 = 1968^2 + 1719^2 .

It is not a de Polignac number, because 6827985 - 2¹ = 6827983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 151733 = 6827985 / (6 + 8 + 2 + 7 + 9 + 8 + 5).

It is an Ulam number.

6827985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6827985.

It is not an unprimeable number, because it can be changed into a prime (6827981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75822 + ... + 75911.

It is an arithmetic number, because the mean of its divisors is an integer number (986271).

Almost surely, 2^6827985 is an apocalyptic number.

It is an amenable number.

6827985 is a deficient number, since it is larger than the sum of its proper divisors (5007267).

6827985 is a wasteful number, since it uses less digits than its factorization.

6827985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151744 (or 151741 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 6827985 is about 2613.0413314756. The cubic root of 6827985 is about 189.7131868363.

The spelling of 6827985 in words is "six million, eight hundred twenty-seven thousand, nine hundred eighty-five".