65536 has 17 divisors (see below), whose sum is σ = 131071. Its totient is φ = 32768.

The previous prime is 65521. The next prime is 65537. The reversal of 65536 is 63556.

65536 = T_{255} + T_{256}.

The square root of 65536 is 256.

It is a perfect power (a square, a biquadrate, a 8-th power, a 16-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{16}.

65536 is nontrivially palindromic in base 15.

It is a Duffinian number.

65536 is a Rhonda number in base 6.

Its product of digits (2700) is a multiple of the sum of its prime divisors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 65536.

It is not an unprimeable number, because it can be changed into a prime (65537) by changing a digit.

65536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 65536 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

65536 is a Friedman number, since it can be written as (6/3)^(6+5+5), using all its digits and the basic arithmetic operations.

2^{65536} is an apocalyptic number.

65536 is the 256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65536

65536 is a deficient number, since it is larger than the sum of its proper divisors (65535).

65536 is an frugal number, since it uses more digits than its factorization.

65536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 2 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The cubic root of 65536 is about 40.3174735966.

Multiplying 65536 by its sum of digits (25), we get a square (1638400 = 1280^{2}).

The spelling of 65536 in words is "sixty-five thousand, five hundred thirty-six".

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