972116973 has 6 divisors (see below), whose sum is σ = 1404168974. Its totient is φ = 648077976.

The previous prime is 972116963. The next prime is 972117017. The reversal of 972116973 is 379611279.

It can be written as a sum of positive squares in only one way, i.e., 834805449 + 137311524 = 28893^2 + 11718^2 .

It is not a de Polignac number, because 972116973 - 2⁶ = 972116909 is a prime.

It is a super-2 number, since 2×972116973² = 1890022818389365458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972116903) 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 5 ways as a sum of consecutive naturals, for example, 54006490 + ... + 54006507.

Almost surely, 2^972116973 is an apocalyptic number.

It is an amenable number.

972116973 is a deficient number, since it is larger than the sum of its proper divisors (432052001).

972116973 is a wasteful number, since it uses less digits than its factorization.

972116973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108013003 (or 108013000 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 972116973 is about 31178.7904351660. The cubic root of 972116973 is about 990.6179093231.

The spelling of 972116973 in words is "nine hundred seventy-two million, one hundred sixteen thousand, nine hundred seventy-three".