96805193 has 2 divisors, whose sum is σ = 96805194. Its totient is φ = 96805192.

The previous prime is 96805153. The next prime is 96805213. The reversal of 96805193 is 39150869.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87853129 + 8952064 = 9373^2 + 2992^2 .

It is an emirp because it is prime and its reverse (39150869) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 96805193 - 2²⁴ = 80027977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96805193.

It is not a weakly prime, because it can be changed into another prime (96805153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48402596 + 48402597.

It is an arithmetic number, because the mean of its divisors is an integer number (48402597).

Almost surely, 2^96805193 is an apocalyptic number.

It is an amenable number.

96805193 is a deficient number, since it is larger than the sum of its proper divisors (1).

96805193 is an equidigital number, since it uses as much as digits as its factorization.

96805193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 96805193 is about 9838.9630043008. The cubic root of 96805193 is about 459.1622954859.

The spelling of 96805193 in words is "ninety-six million, eight hundred five thousand, one hundred ninety-three".