972084667 has 8 divisors (see below), whose sum is σ = 1030798656. Its totient is φ = 913540992.

The previous prime is 972084623. The next prime is 972084671. The reversal of 972084667 is 766480279.

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 972084667 - 2¹¹ = 972082619 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 972084667.

It is not an unprimeable number, because it can be changed into a prime (972084677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30723 + ... + 53740.

It is an arithmetic number, because the mean of its divisors is an integer number (128849832).

Almost surely, 2^972084667 is an apocalyptic number.

972084667 is a deficient number, since it is larger than the sum of its proper divisors (58713989).

972084667 is a wasteful number, since it uses less digits than its factorization.

972084667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85157.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 972084667 is about 31178.2723543175. The cubic root of 972084667 is about 990.6069355899.

The spelling of 972084667 in words is "nine hundred seventy-two million, eighty-four thousand, six hundred sixty-seven".