7284 has 12 divisors (see below), whose sum is σ = 17024. Its totient is φ = 2424.

The previous prime is 7283. The next prime is 7297. The reversal of 7284 is 4827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 7284.

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 7284.

It is not an unprimeable number, because it can be changed into a prime (7283) 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 in 3 ways as a sum of consecutive naturals, for example, 292 + ... + 315.

2⁷²⁸⁴ is an apocalyptic number.

It is an amenable number.

7284 is an abundant number, since it is smaller than the sum of its proper divisors (9740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512).

7284 is a wasteful number, since it uses less digits than its factorization.

7284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 7284 is about 85.3463531734. The cubic root of 7284 is about 19.3845911584.

The spelling of 7284 in words is "seven thousand, two hundred eighty-four".