972168001 has 16 divisors (see below), whose sum is σ = 1179788544. Its totient is φ = 782014464.

The previous prime is 972167983. The next prime is 972168013. The reversal of 972168001 is 100861279.

It is a happy number.

972168001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972168001 - 2⁷ = 972167873 is a prime.

It is a super-2 number, since 2×972168001² = 1890221244336672002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972168061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30436 + ... + 53578.

It is an arithmetic number, because the mean of its divisors is an integer number (73736784).

Almost surely, 2^972168001 is an apocalyptic number.

It is an amenable number.

972168001 is a deficient number, since it is larger than the sum of its proper divisors (207620543).

972168001 is a wasteful number, since it uses less digits than its factorization.

972168001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520.

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 972168001 is about 31179.6087371218. The cubic root of 972168001 is about 990.6352420679.

The spelling of 972168001 in words is "nine hundred seventy-two million, one hundred sixty-eight thousand, one".