4096 has 13 divisors (see below), whose sum is σ = 8191. Its totient is φ = 2048.

The previous prime is 4093. The next prime is 4099. The reversal of 4096 is 6904.

4096 = T_{63} + T_{64}.

It is a happy number.

The square root of 4096 is 64.

The cubic root of 4096 is 16.

It is a perfect power (a square, a cube, a biquadrate, a 6-th power, a 12-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)^{12}.

4096 is nontrivially palindromic in base 7 and base 15.

It is an interprime number because it is at equal distance from previous prime (4093) and next prime (4099).

It is a pancake number, because a pancake can be divided into 4096 parts by 90 straight cuts.

It is a Duffinian number.

It is a nialpdrome in base 2, base 4, base 8, base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.

In principle, a polygon with 4096 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.

4096 is a Friedman number, since it can be written as (9-6^0)^4, using all its digits and the basic arithmetic operations.

4096 is the 64-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096

4096 is a deficient number, since it is larger than the sum of its proper divisors (4095).

4096 is an frugal number, since it uses more digits than its factorization.

4096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 2 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Multiplying 4096 by its product of nonzero digits (216), we get a cube (884736 = 96^{3}).

It can be divided in two parts, 40 and 96, that added together give a triangular number (136 = T_{16}).

The spelling of 4096 in words is "four thousand, ninety-six".

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