329692835046097 has 2 divisors, whose sum is σ = 329692835046098. Its totient is φ = 329692835046096.

The previous prime is 329692835046089. The next prime is 329692835046161. The reversal of 329692835046097 is 790640538296923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203100093239761 + 126592741806336 = 14251319^2 + 11251344^2 .

It is a cyclic number.

It is not a de Polignac number, because 329692835046097 - 2³ = 329692835046089 is a prime.

It is a super-2 number, since 2×329692835046097² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (329692835046797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164846417523048 + 164846417523049.

It is an arithmetic number, because the mean of its divisors is an integer number (164846417523049).

Almost surely, 2^{329692835046097} is an apocalyptic number.

It is an amenable number.

329692835046097 is a deficient number, since it is larger than the sum of its proper divisors (1).

329692835046097 is an equidigital number, since it uses as much as digits as its factorization.

329692835046097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058158080, while the sum is 73.

The spelling of 329692835046097 in words is "three hundred twenty-nine trillion, six hundred ninety-two billion, eight hundred thirty-five million, forty-six thousand, ninety-seven".