972461722961 has 8 divisors (see below), whose sum is σ = 984962245344. Its totient is φ = 960038127360.

The previous prime is 972461722927. The next prime is 972461723029. The reversal of 972461722961 is 169227164279.

It is a happy number.

972461722961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 972461722961 - 2³⁴ = 955281853777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972461722897 and 972461722906.

It is not an unprimeable number, because it can be changed into a prime (972461722061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19206251 + ... + 19256816.

It is an arithmetic number, because the mean of its divisors is an integer number (123120280668).

Almost surely, 2^972461722961 is an apocalyptic number.

It is an amenable number.

972461722961 is a deficient number, since it is larger than the sum of its proper divisors (12500522383).

972461722961 is a wasteful number, since it uses less digits than its factorization.

972461722961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38463391.

The product of its digits is 4572288, while the sum is 56.

The spelling of 972461722961 in words is "nine hundred seventy-two billion, four hundred sixty-one million, seven hundred twenty-two thousand, nine hundred sixty-one".