7972817 has 2 divisors, whose sum is σ = 7972818. Its totient is φ = 7972816.

The previous prime is 7972781. The next prime is 7972831. The reversal of 7972817 is 7182797.

Together with previous prime (7972781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6990736 + 982081 = 2644^2 + 991^2 .

It is an emirp because it is prime and its reverse (7182797) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7972817 - 2⁶ = 7972753 is a prime.

It is not a weakly prime, because it can be changed into another prime (7972417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3986408 + 3986409.

It is an arithmetic number, because the mean of its divisors is an integer number (3986409).

Almost surely, 2^7972817 is an apocalyptic number.

It is an amenable number.

7972817 is a deficient number, since it is larger than the sum of its proper divisors (1).

7972817 is an equidigital number, since it uses as much as digits as its factorization.

7972817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49392, while the sum is 41.

The square root of 7972817 is about 2823.6177149182. The cubic root of 7972817 is about 199.7732179467.

The spelling of 7972817 in words is "seven million, nine hundred seventy-two thousand, eight hundred seventeen".