972667633280241 has 32 divisors (see below), whose sum is σ = 1388207527603200. Its totient is φ = 603949290799680.

The previous prime is 972667633280221. The next prime is 972667633280341. The reversal of 972667633280241 is 142082336766279.

It is not a de Polignac number, because 972667633280241 - 2¹⁵ = 972667633247473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972667633280221) 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 31 ways as a sum of consecutive naturals, for example, 61508571 + ... + 75687776.

It is an arithmetic number, because the mean of its divisors is an integer number (43381485237600).

Almost surely, 2^{972667633280241} is an apocalyptic number.

It is an amenable number.

972667633280241 is a deficient number, since it is larger than the sum of its proper divisors (415539894322959).

972667633280241 is a wasteful number, since it uses less digits than its factorization.

972667633280241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137198469.

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 972667633280241 in words is "nine hundred seventy-two trillion, six hundred sixty-seven billion, six hundred thirty-three million, two hundred eighty thousand, two hundred forty-one".