6882967 has 16 divisors (see below), whose sum is σ = 8673280. Its totient is φ = 5316192.

The previous prime is 6882949. The next prime is 6882971. The reversal of 6882967 is 7692886.

It is not a de Polignac number, because 6882967 - 2⁷ = 6882839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6882907) 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, 3034 + ... + 4792.

It is an arithmetic number, because the mean of its divisors is an integer number (542080).

Almost surely, 2^6882967 is an apocalyptic number.

6882967 is a deficient number, since it is larger than the sum of its proper divisors (1790313).

6882967 is a wasteful number, since it uses less digits than its factorization.

6882967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822.

The product of its digits is 290304, while the sum is 46.

The square root of 6882967 is about 2623.5409278302. The cubic root of 6882967 is about 190.2210446775.

It can be divided in two parts, 688 and 2967, that added together give a triangular number (3655 = T₈₅).

The spelling of 6882967 in words is "six million, eight hundred eighty-two thousand, nine hundred sixty-seven".