972817201 has 2 divisors, whose sum is σ = 972817202. Its totient is φ = 972817200.

The previous prime is 972817189. The next prime is 972817211. The reversal of 972817201 is 102718279.

972817201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 971942976 + 874225 = 31176^2 + 935^2 .

It is a cyclic number.

It is not a de Polignac number, because 972817201 - 2²³ = 964428593 is a prime.

It is a super-2 number, since 2×972817201² = 1892746613122948802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972817211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486408600 + 486408601.

It is an arithmetic number, because the mean of its divisors is an integer number (486408601).

Almost surely, 2^972817201 is an apocalyptic number.

It is an amenable number.

972817201 is a deficient number, since it is larger than the sum of its proper divisors (1).

972817201 is an equidigital number, since it uses as much as digits as its factorization.

972817201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 37.

The square root of 972817201 is about 31190.0176498828. The cubic root of 972817201 is about 990.8557037220.

The spelling of 972817201 in words is "nine hundred seventy-two million, eight hundred seventeen thousand, two hundred one".