4444 has 12 divisors (see below), whose sum is σ = 8568. Its totient is φ = 2000.

The previous prime is 4441. The next prime is 4447.

4444 = T_{21} + T_{22} + ... +
T_{32}.

4444 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4441) and next prime (4447).

It is a nude number because it is divisible by every one of its digits.

4444 is a modest number, since divided by 444 gives 4 as remainder.

4444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (714).

It is a self-describing number.

4444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444 is a deficient number, since it is larger than the sum of its proper divisors (4124).

4444 is a wasteful number, since it uses less digits than its factorization.

4444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 256, while the sum is 16.

The square root of 4444 is about 66.6633332500. The cubic root of 4444 is about 16.4408657635.

It can be divided in two parts, 44 and 44, that added together give a palindrome (88).

The spelling of 4444 in words is "four thousand, four hundred forty-four", and thus it is an iban number.

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