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BaseRepresentation
bin1111011000
31100110
433120
512414
64320
72604
oct1730
91313
10984
11815
126a0
135a9
14504
15459
hex3d8

• 984 can be written using four 4's: 984 has 16 divisors (see below), whose sum is σ = 2520. Its totient is φ = 320.

The previous prime is 983. The next prime is 991. The reversal of 984 is 489.

984 is an undulating number in base 9.

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983) 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, 4 + ... + 44.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260).

984 is an abundant number, since it is smaller than the sum of its proper divisors (1536).

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

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

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

The sum of its prime factors is 50 (or 46 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 984 is about 31.3687742827. The cubic root of 984 is about 9.9463796665.

Subtracting from 984 its product of digits (288), we obtain a palindrome (696).

The spelling of 984 in words is "nine hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984