65005873 has 2 divisors, whose sum is σ = 65005874. Its totient is φ = 65005872.

The previous prime is 65005847. The next prime is 65005901. The reversal of 65005873 is 37850056.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44782864 + 20223009 = 6692^2 + 4497^2 .

It is a cyclic number.

It is not a de Polignac number, because 65005873 - 2⁹ = 65005361 is a prime.

It is not a weakly prime, because it can be changed into another prime (65005823) 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, 32502936 + 32502937.

It is an arithmetic number, because the mean of its divisors is an integer number (32502937).

Almost surely, 2^65005873 is an apocalyptic number.

It is an amenable number.

65005873 is a deficient number, since it is larger than the sum of its proper divisors (1).

65005873 is an equidigital number, since it uses as much as digits as its factorization.

65005873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 65005873 is about 8062.6219680697. The cubic root of 65005873 is about 402.0846850954.

The spelling of 65005873 in words is "sixty-five million, five thousand, eight hundred seventy-three".