7337806961 has 2 divisors, whose sum is σ = 7337806962. Its totient is φ = 7337806960.

The previous prime is 7337806943. The next prime is 7337806963. The reversal of 7337806961 is 1696087337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6998326336 + 339480625 = 83656^2 + 18425^2 .

It is a cyclic number.

It is not a de Polignac number, because 7337806961 - 2¹⁸ = 7337544817 is a prime.

Together with 7337806963, 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 (7337806963) 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, 3668903480 + 3668903481.

It is an arithmetic number, because the mean of its divisors is an integer number (3668903481).

Almost surely, 2^7337806961 is an apocalyptic number.

It is an amenable number.

7337806961 is a deficient number, since it is larger than the sum of its proper divisors (1).

7337806961 is an equidigital number, since it uses as much as digits as its factorization.

7337806961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 7337806961 is about 85661.0002334785. Note that the first 3 decimals coincide. The cubic root of 7337806961 is about 1943.2205479655.

The spelling of 7337806961 in words is "seven billion, three hundred thirty-seven million, eight hundred six thousand, nine hundred sixty-one".