97729788337 has 2 divisors, whose sum is σ = 97729788338. Its totient is φ = 97729788336.

The previous prime is 97729788287. The next prime is 97729788371. The reversal of 97729788337 is 73388792779.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49231178161 + 48498610176 = 221881^2 + 220224^2 .

It is a cyclic number.

It is not a de Polignac number, because 97729788337 - 2¹⁵ = 97729755569 is a prime.

It is a super-2 number, since 2×97729788337² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (97729788397) 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, 48864894168 + 48864894169.

It is an arithmetic number, because the mean of its divisors is an integer number (48864894169).

Almost surely, 2^97729788337 is an apocalyptic number.

It is an amenable number.

97729788337 is a deficient number, since it is larger than the sum of its proper divisors (1).

97729788337 is an equidigital number, since it uses as much as digits as its factorization.

97729788337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 224042112, while the sum is 70.

The spelling of 97729788337 in words is "ninety-seven billion, seven hundred twenty-nine million, seven hundred eighty-eight thousand, three hundred thirty-seven".