972043115641 has 8 divisors (see below), whose sum is σ = 1056419477960. Its totient is φ = 889038726912.

The previous prime is 972043115627. The next prime is 972043115663. The reversal of 972043115641 is 146511340279.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 207187922041 + 764855193600 = 455179^2 + 874560^2 .

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 972043115641 - 2⁷ = 972043115513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972043115441) 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, 342991920 + ... + 342994753.

It is an arithmetic number, because the mean of its divisors is an integer number (132052434745).

Almost surely, 2^972043115641 is an apocalyptic number.

It is an amenable number.

972043115641 is a deficient number, since it is larger than the sum of its proper divisors (84376362319).

972043115641 is a wasteful number, since it uses less digits than its factorization.

972043115641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685986795.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 972043115641 in words is "nine hundred seventy-two billion, forty-three million, one hundred fifteen thousand, six hundred forty-one".