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1984 = 2631
BaseRepresentation
bin11111000000
32201111
4133000
530414
613104
75533
oct3700
92644
101984
111544
121194
13b98
14a1a
158c4
hex7c0

1984 has 14 divisors (see below), whose sum is σ = 4064. Its totient is φ = 960.

The previous prime is 1979. The next prime is 1987. The reversal of 1984 is 4891.

1984 is nontrivially palindromic in base 14.

1984 is an undulating number in base 14.

It is a nialpdrome in base 2, base 7 and base 13.

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49 + ... + 79.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032).

1984 is an abundant number, since it is smaller than the sum of its proper divisors (2080).

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

1984 is an equidigital number, since it uses as much as digits as its factorization.

1984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1984 is about 44.5421149026. The cubic root of 1984 is about 12.5655226096.

It can be divided in two parts, 198 and 4, that added together give a palindrome (202).

The spelling of 1984 in words is "one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984