6971965 has 48 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 3991680.

The previous prime is 6971963. The next prime is 6971981. The reversal of 6971965 is 5691796.

6971965 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6971965 - 2¹ = 6971963 is a prime.

It is a super-2 number, since 2×6971965² = 97216591922450, which contains 22 as substring.

6971965 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6971963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34936 + ... + 35134.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 2^6971965 is an apocalyptic number.

6971965 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6971965 is a deficient number, since it is larger than the sum of its proper divisors (4519235).

6971965 is a wasteful number, since it uses less digits than its factorization.

6971965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 102060, while the sum is 43.

The square root of 6971965 is about 2640.4478786751. The cubic root of 6971965 is about 191.0374002764.

It can be divided in two parts, 697 and 1965, that added together give a palindrome (2662).

The spelling of 6971965 in words is "six million, nine hundred seventy-one thousand, nine hundred sixty-five".