6856967 has 32 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 5322240.

The previous prime is 6856937. The next prime is 6856973. The reversal of 6856967 is 7696586.

It is a cyclic number.

It is not a de Polignac number, because 6856967 - 2¹² = 6852871 is a prime.

It is a d-powerful number, because it can be written as 6³ + 8³ + 5³ + 6⁷ + 9⁶ + 6⁷ + 7⁸ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96542 + ... + 96612.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^6856967 is an apocalyptic number.

6856967 is a deficient number, since it is larger than the sum of its proper divisors (1852153).

6856967 is a wasteful number, since it uses less digits than its factorization.

6856967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 544320, while the sum is 47.

The square root of 6856967 is about 2618.5811043388. The cubic root of 6856967 is about 189.9812262152.

The spelling of 6856967 in words is "six million, eight hundred fifty-six thousand, nine hundred sixty-seven".