91106329 has 2 divisors, whose sum is σ = 91106330. Its totient is φ = 91106328.

The previous prime is 91106317. The next prime is 91106333. The reversal of 91106329 is 92360119.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66455104 + 24651225 = 8152^2 + 4965^2 .

It is an emirp because it is prime and its reverse (92360119) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91106329 - 2⁷ = 91106201 is a prime.

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 91106329.

It is not a weakly prime, because it can be changed into another prime (91106129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45553164 + 45553165.

It is an arithmetic number, because the mean of its divisors is an integer number (45553165).

Almost surely, 2^91106329 is an apocalyptic number.

It is an amenable number.

91106329 is a deficient number, since it is larger than the sum of its proper divisors (1).

91106329 is an equidigital number, since it uses as much as digits as its factorization.

91106329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 91106329 is about 9544.9635410514. The cubic root of 91106329 is about 449.9692637443.

The spelling of 91106329 in words is "ninety-one million, one hundred six thousand, three hundred twenty-nine".