8144 has 10 divisors (see below), whose sum is σ = 15810. Its totient is φ = 4064.

The previous prime is 8123. The next prime is 8147. The reversal of 8144 is 4418.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 400 = 88^2 + 20^2 .

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

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 8144.

It is not an unprimeable number, because it can be changed into a prime (8147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 239 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (1581).

2⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

8144 is a deficient number, since it is larger than the sum of its proper divisors (7666).

8144 is a wasteful number, since it uses less digits than its factorization.

8144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 8144 is about 90.2441133814. The cubic root of 8144 is about 20.1192871147.

It can be divided in two parts, 814 and 4, that added together give a palindrome (818).

The spelling of 8144 in words is "eight thousand, one hundred forty-four".