972182017 has 2 divisors, whose sum is σ = 972182018. Its totient is φ = 972182016.

The previous prime is 972182011. The next prime is 972182023. The reversal of 972182017 is 710281279.

It is a balanced prime because it is at equal distance from previous prime (972182011) and next prime (972182023).

It can be written as a sum of positive squares in only one way, i.e., 721244736 + 250937281 = 26856^2 + 15841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972182017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972182011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486091008 + 486091009.

It is an arithmetic number, because the mean of its divisors is an integer number (486091009).

Almost surely, 2^972182017 is an apocalyptic number.

It is an amenable number.

972182017 is a deficient number, since it is larger than the sum of its proper divisors (1).

972182017 is an equidigital number, since it uses as much as digits as its factorization.

972182017 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 972182017 is about 31179.8334985933. The cubic root of 972182017 is about 990.6400027940.

It can be divided in two parts, 97218 and 2017, that added together give a triangular number (99235 = T₄₄₅).

The spelling of 972182017 in words is "nine hundred seventy-two million, one hundred eighty-two thousand, seventeen".