8444 has 6 divisors (see below), whose sum is σ = 14784. Its totient is φ = 4220.

The previous prime is 8443. The next prime is 8447. The reversal of 8444 is 4448.

8444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8444² = 142602272, which contains 22 as substring.

8444 is a modest number, since divided by 444 gives 8 as remainder.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8444.

It is not an unprimeable number, because it can be changed into a prime (8443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (2464).

2⁸⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

8444 is a deficient number, since it is larger than the sum of its proper divisors (6340).

8444 is a wasteful number, since it uses less digits than its factorization.

8444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2113 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 8444 is about 91.8912400613. The cubic root of 8444 is about 20.3633585499.

Adding to 8444 its sum of digits (20), we get a square (8464 = 92²).

It can be divided in two parts, 844 and 4, that added together give a palindrome (848).

The spelling of 8444 in words is "eight thousand, four hundred forty-four".