4268 has 12 divisors (see below), whose sum is σ = 8232. Its totient is φ = 1920.

The previous prime is 4261. The next prime is 4271. The reversal of 4268 is 8624.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4⁶ + 6² + 2⁷ + 8 .

It is a plaindrome in base 12 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4268.

It is not an unprimeable number, because it can be changed into a prime (4261) by changing a digit.

4268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (686).

It is an amenable number.

4268 is a deficient number, since it is larger than the sum of its proper divisors (3964).

4268 is a wasteful number, since it uses less digits than its factorization.

4268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 4268 is about 65.3299318842. The cubic root of 4268 is about 16.2208946461.

Subtracting 4268 from its reverse (8624), we obtain a square (4356 = 66²).

It can be divided in two parts, 426 and 8, that added together give a palindrome (434).

The spelling of 4268 in words is "four thousand, two hundred sixty-eight".