65599 has 2 divisors, whose sum is σ = 65600. Its totient is φ = 65598.

The previous prime is 65587. The next prime is 65609. The reversal of 65599 is 99556.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 65599 - 2¹⁵ = 32831 is a prime.

65599 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32799 + 32800.

It is an arithmetic number, because the mean of its divisors is an integer number (32800).

2⁶⁵⁵⁹⁹ is an apocalyptic number.

65599 is a deficient number, since it is larger than the sum of its proper divisors (1).

65599 is an equidigital number, since it uses as much as digits as its factorization.

65599 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12150, while the sum is 34.

The square root of 65599 is about 256.1230173179. The cubic root of 65599 is about 40.3303885714.

The spelling of 65599 in words is "sixty-five thousand, five hundred ninety-nine".