7967651201 has 2 divisors, whose sum is σ = 7967651202. Its totient is φ = 7967651200.

The previous prime is 7967651179. The next prime is 7967651203. The reversal of 7967651201 is 1021567697.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7967347600 + 303601 = 89260^2 + 551^2 .

It is an emirp because it is prime and its reverse (1021567697) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7967651201 - 2¹⁰ = 7967650177 is a prime.

Together with 7967651203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7967651203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3983825600 + 3983825601.

It is an arithmetic number, because the mean of its divisors is an integer number (3983825601).

Almost surely, 2^7967651201 is an apocalyptic number.

It is an amenable number.

7967651201 is a deficient number, since it is larger than the sum of its proper divisors (1).

7967651201 is an equidigital number, since it uses as much as digits as its factorization.

7967651201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 7967651201 is about 89261.7006391879. The cubic root of 7967651201 is about 1997.3006250766.

The spelling of 7967651201 in words is "seven billion, nine hundred sixty-seven million, six hundred fifty-one thousand, two hundred one".