7971137 has 2 divisors, whose sum is σ = 7971138. Its totient is φ = 7971136.

The previous prime is 7971109. The next prime is 7971149. The reversal of 7971137 is 7311797.

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., 7890481 + 80656 = 2809^2 + 284^2 .

It is an emirp because it is prime and its reverse (7311797) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7971137 - 2⁸ = 7970881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7971097 and 7971106.

It is not a weakly prime, because it can be changed into another prime (7971157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3985568 + 3985569.

It is an arithmetic number, because the mean of its divisors is an integer number (3985569).

Almost surely, 2^7971137 is an apocalyptic number.

It is an amenable number.

7971137 is a deficient number, since it is larger than the sum of its proper divisors (1).

7971137 is an equidigital number, since it uses as much as digits as its factorization.

7971137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9261, while the sum is 35.

The square root of 7971137 is about 2823.3202085488. The cubic root of 7971137 is about 199.7591851574.

The spelling of 7971137 in words is "seven million, nine hundred seventy-one thousand, one hundred thirty-seven".