972585535146217 has 2 divisors, whose sum is σ = 972585535146218. Its totient is φ = 972585535146216.

The previous prime is 972585535146187. The next prime is 972585535146307. The reversal of 972585535146217 is 712641535585279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 927337459310656 + 45248075835561 = 30452216^2 + 6726669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972585535146217 is a prime.

It is a super-2 number, since 2×972585535146217² (a number of 31 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972585535146317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486292767573108 + 486292767573109.

It is an arithmetic number, because the mean of its divisors is an integer number (486292767573109).

Almost surely, 2^{972585535146217} is an apocalyptic number.

It is an amenable number.

972585535146217 is a deficient number, since it is larger than the sum of its proper divisors (1).

972585535146217 is an equidigital number, since it uses as much as digits as its factorization.

972585535146217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 635040000, while the sum is 70.

The spelling of 972585535146217 in words is "nine hundred seventy-two trillion, five hundred eighty-five billion, five hundred thirty-five million, one hundred forty-six thousand, two hundred seventeen".