6967073961 has 9 divisors (see below), whose sum is σ = 10063912989. Its totient is φ = 4644549036.

The previous prime is 6967073959. The next prime is 6967073969. The reversal of 6967073961 is 1693707696.

The square root of 6967073961 is 83469.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6967073961 - 2¹ = 6967073959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6967073898 and 6967073907.

It is not an unprimeable number, because it can be changed into a prime (6967073969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236496 + ... + 264318.

Almost surely, 2^6967073961 is an apocalyptic number.

6967073961 is the 83469-th square number.

6967073961 is the 41735-th centered octagonal number.

It is an amenable number.

6967073961 is a deficient number, since it is larger than the sum of its proper divisors (3096839028).

6967073961 is an frugal number, since it uses more digits than its factorization.

6967073961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55652 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The cubic root of 6967073961 is about 1909.9271703633.

The spelling of 6967073961 in words is "six billion, nine hundred sixty-seven million, seventy-three thousand, nine hundred sixty-one".