65800873 has 2 divisors, whose sum is σ = 65800874. Its totient is φ = 65800872.

The previous prime is 65800853. The next prime is 65800919. The reversal of 65800873 is 37800856.

65800873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51451929 + 14348944 = 7173^2 + 3788^2 .

It is a cyclic number.

It is not a de Polignac number, because 65800873 - 2²⁵ = 32246441 is a prime.

It is not a weakly prime, because it can be changed into another prime (65800853) 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, 32900436 + 32900437.

It is an arithmetic number, because the mean of its divisors is an integer number (32900437).

Almost surely, 2^65800873 is an apocalyptic number.

It is an amenable number.

65800873 is a deficient number, since it is larger than the sum of its proper divisors (1).

65800873 is an equidigital number, since it uses as much as digits as its factorization.

65800873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 65800873 is about 8111.7737271204. The cubic root of 65800873 is about 403.7171683949.

The spelling of 65800873 in words is "sixty-five million, eight hundred thousand, eight hundred seventy-three".