972132817 has 2 divisors, whose sum is σ = 972132818. Its totient is φ = 972132816.

The previous prime is 972132797. The next prime is 972132823. The reversal of 972132817 is 718231279.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 686387601 + 285745216 = 26199^2 + 16904^2 .

It is a cyclic number.

It is not a de Polignac number, because 972132817 - 2¹⁵ = 972100049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972132817.

It is not a weakly prime, because it can be changed into another prime (972132827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486066408 + 486066409.

It is an arithmetic number, because the mean of its divisors is an integer number (486066409).

Almost surely, 2^972132817 is an apocalyptic number.

It is an amenable number.

972132817 is a deficient number, since it is larger than the sum of its proper divisors (1).

972132817 is an equidigital number, since it uses as much as digits as its factorization.

972132817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 40.

The square root of 972132817 is about 31179.0445171112. The cubic root of 972132817 is about 990.6232911394.

The spelling of 972132817 in words is "nine hundred seventy-two million, one hundred thirty-two thousand, eight hundred seventeen".