6805971 has 16 divisors (see below), whose sum is σ = 10614400. Its totient is φ = 4298184.

The previous prime is 6805943. The next prime is 6805987. The reversal of 6805971 is 1795086.

6805971 is a `hidden beast` number, since 68 + 0 + 597 + 1 = 666.

It is not a de Polignac number, because 6805971 - 2¹⁵ = 6773203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6805991) 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, 6121 + ... + 7146.

It is an arithmetic number, because the mean of its divisors is an integer number (663400).

Almost surely, 2^6805971 is an apocalyptic number.

6805971 is a deficient number, since it is larger than the sum of its proper divisors (3808429).

6805971 is a wasteful number, since it uses less digits than its factorization.

6805971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 6805971 is about 2608.8255978505. The cubic root of 6805971 is about 189.5090835541.

It can be divided in two parts, 6805 and 971, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6805971 in words is "six million, eight hundred five thousand, nine hundred seventy-one".