16971217961 has 8 divisors (see below), whose sum is σ = 17170077384. Its totient is φ = 16772963200.

The previous prime is 16971217931. The next prime is 16971218003.

16971217961 is nontrivially palindromic in base 10.

16971217961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8202019225 + 8769198736 = 90565^2 + 93644^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16971217961 - 2²² = 16967023657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16971217931) 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 7 ways as a sum of consecutive naturals, for example, 94580 + ... + 207093.

It is an arithmetic number, because the mean of its divisors is an integer number (2146259673).

Almost surely, 2^16971217961 is an apocalyptic number.

It is an amenable number.

16971217961 is a deficient number, since it is larger than the sum of its proper divisors (198859423).

16971217961 is a wasteful number, since it uses less digits than its factorization.

16971217961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302331.

The product of its digits is 285768, while the sum is 50.

The spelling of 16971217961 in words is "sixteen billion, nine hundred seventy-one million, two hundred seventeen thousand, nine hundred sixty-one".