91965329 has 2 divisors, whose sum is σ = 91965330. Its totient is φ = 91965328.

The previous prime is 91965317. The next prime is 91965331. The reversal of 91965329 is 92356919.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 801025 = 9548^2 + 895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91965329 is a prime.

It is a super-3 number, since 3×91965329³ (a number of 25 digits) contains 333 as substring.

Together with 91965331, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 91965329.

It is not a weakly prime, because it can be changed into another prime (91961329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45982664 + 45982665.

It is an arithmetic number, because the mean of its divisors is an integer number (45982665).

Almost surely, 2^91965329 is an apocalyptic number.

It is an amenable number.

91965329 is a deficient number, since it is larger than the sum of its proper divisors (1).

91965329 is an equidigital number, since it uses as much as digits as its factorization.

91965329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 131220, while the sum is 44.

The square root of 91965329 is about 9589.8555255019. The cubic root of 91965329 is about 451.3790272603.

The spelling of 91965329 in words is "ninety-one million, nine hundred sixty-five thousand, three hundred twenty-nine".