9257164398767 has 2 divisors, whose sum is σ = 9257164398768. Its totient is φ = 9257164398766.

The previous prime is 9257164398733. The next prime is 9257164398817. The reversal of 9257164398767 is 7678934617529.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 9257164398767 - 2¹⁰ = 9257164397743 is a prime.

It is a super-2 number, since 2×9257164398767² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9257164398694 and 9257164398703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9257164398067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4628582199383 + 4628582199384.

It is an arithmetic number, because the mean of its divisors is an integer number (4628582199384).

Almost surely, 2^{9257164398767} is an apocalyptic number.

9257164398767 is a deficient number, since it is larger than the sum of its proper divisors (1).

9257164398767 is an equidigital number, since it uses as much as digits as its factorization.

9257164398767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960180480, while the sum is 74.

The spelling of 9257164398767 in words is "nine trillion, two hundred fifty-seven billion, one hundred sixty-four million, three hundred ninety-eight thousand, seven hundred sixty-seven".