9967237457 has 2 divisors, whose sum is σ = 9967237458. Its totient is φ = 9967237456.

The previous prime is 9967237409. The next prime is 9967237481. The reversal of 9967237457 is 7547327699.

9967237457 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9961836481 + 5400976 = 99809^2 + 2324^2 .

It is a cyclic number.

It is not a de Polignac number, because 9967237457 - 2¹² = 9967233361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9967237396 and 9967237405.

It is not a weakly prime, because it can be changed into another prime (9967237487) 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, 4983618728 + 4983618729.

It is an arithmetic number, because the mean of its divisors is an integer number (4983618729).

Almost surely, 2^9967237457 is an apocalyptic number.

It is an amenable number.

9967237457 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967237457 is an equidigital number, since it uses as much as digits as its factorization.

9967237457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20003760, while the sum is 59.

The square root of 9967237457 is about 99836.0528917284. The cubic root of 9967237457 is about 2152.0792905544.

The spelling of 9967237457 in words is "nine billion, nine hundred sixty-seven million, two hundred thirty-seven thousand, four hundred fifty-seven".