4266 has 16 divisors (see below), whose sum is σ = 9600. Its totient is φ = 1404.

The previous prime is 4261. The next prime is 4271. The reversal of 4266 is 6624.

Adding to 4266 its product of digits (288), we get a palindrome (4554).

It can be divided in two parts, 426 and 6, that multiplied together give a triangular number (2556 = T_{71}).

It is an interprime number because it is at equal distance from previous prime (4261) and next prime (4271).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **4**^{6} + **6** + **2**^{7} + **6**^{2} .

4266 is a modest number, since divided by 66 gives 42 as remainder.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4266.

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

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 7 ways as a sum of consecutive naturals, for example, 15 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

It is a practical number, because each smaller number is the sum of distinct divisors of 4266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800).

4266 is an abundant number, since it is smaller than the sum of its proper divisors (5334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4266 is a wasteful number, since it uses less digits than its factorization.

4266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 4266 is about 65.3146231712. The cubic root of 4266 is about 16.2183605273.

The spelling of 4266 in words is "four thousand, two hundred sixty-six".

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