6856953 has 12 divisors (see below), whose sum is σ = 9275760. Its totient is φ = 4505536.

The previous prime is 6856937. The next prime is 6856973. The reversal of 6856953 is 3596586.

It is not a de Polignac number, because 6856953 - 2⁴ = 6856937 is a prime.

6856953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6856973) 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 11 ways as a sum of consecutive naturals, for example, 38218 + ... + 38396.

It is an arithmetic number, because the mean of its divisors is an integer number (772980).

Almost surely, 2^6856953 is an apocalyptic number.

It is an amenable number.

6856953 is a deficient number, since it is larger than the sum of its proper divisors (2418807).

6856953 is a wasteful number, since it uses less digits than its factorization.

6856953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 295 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 6856953 is about 2618.5784311340. The cubic root of 6856953 is about 189.9810969190.

The spelling of 6856953 in words is "six million, eight hundred fifty-six thousand, nine hundred fifty-three".