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9144 = 2332127

9144 has 24 divisors (see below), whose sum is σ = 24960. Its totient is φ = 3024.

The previous prime is 9137. The next prime is 9151. The reversal of 9144 is 4419.

9144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9137) and next prime (9151).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×91442 = 167225472, which contains 22 as substring.

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

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 9144.

It is an unprimeable number.

9144 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1040).

29144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480).

9144 is an abundant number, since it is smaller than the sum of its proper divisors (15816).

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

9144 is a wasteful number, since it uses less digits than its factorization.

9144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 9144 is about 95.6242647031. The cubic root of 9144 is about 20.9111895700.

It can be divided in two parts, 91 and 44, that multiplied together give a palindrome (4004).

The spelling of 9144 in words is "nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144