6809967 has 16 divisors (see below), whose sum is σ = 10133760. Its totient is φ = 4519800.

The previous prime is 6809927. The next prime is 6809981. The reversal of 6809967 is 7699086.

6809967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6809967 - 2⁶ = 6809903 is a prime.

6809967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6809927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7992 + ... + 8802.

It is an arithmetic number, because the mean of its divisors is an integer number (633360).

Almost surely, 2^6809967 is an apocalyptic number.

6809967 is a deficient number, since it is larger than the sum of its proper divisors (3323793).

6809967 is a wasteful number, since it uses less digits than its factorization.

6809967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6809967 is about 2609.5913473186. The cubic root of 6809967 is about 189.5461652156.

It can be divided in two parts, 6809 and 967, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6809967 in words is "six million, eight hundred nine thousand, nine hundred sixty-seven".