972000017 has 2 divisors, whose sum is σ = 972000018. Its totient is φ = 972000016.

The previous prime is 971999921. The next prime is 972000023. The reversal of 972000017 is 710000279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811623121 + 160376896 = 28489^2 + 12664^2 .

It is a cyclic number.

It is not a de Polignac number, because 972000017 - 2²⁰ = 970951441 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972000017.

It is not a weakly prime, because it can be changed into another prime (972000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486000008 + 486000009.

It is an arithmetic number, because the mean of its divisors is an integer number (486000009).

Almost surely, 2^972000017 is an apocalyptic number.

It is an amenable number.

972000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

972000017 is an equidigital number, since it uses as much as digits as its factorization.

972000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 972000017 is about 31176.9148088774. The cubic root of 972000017 is about 990.5781804434.

The spelling of 972000017 in words is "nine hundred seventy-two million, seventeen", and thus it is an aban number.