972967769279 has 8 divisors (see below), whose sum is σ = 1061426710272. Its totient is φ = 884510049240.

The previous prime is 972967769273. The next prime is 972967769359.

972967769279 is nontrivially palindromic in base 10.

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 972967769279 - 2¹² = 972967765183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972967769273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2415242 + ... + 2789144.

It is an arithmetic number, because the mean of its divisors is an integer number (132678338784).

Almost surely, 2^972967769279 is an apocalyptic number.

972967769279 is a deficient number, since it is larger than the sum of its proper divisors (88458940993).

972967769279 is a wasteful number, since it uses less digits than its factorization.

972967769279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610477.

The product of its digits is 2268426384, while the sum is 80.

The spelling of 972967769279 in words is "nine hundred seventy-two billion, nine hundred sixty-seven million, seven hundred sixty-nine thousand, two hundred seventy-nine".