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1284 = 223107

1284 has 12 divisors (see below), whose sum is σ = 3024. Its totient is φ = 424.

The previous prime is 1283. The next prime is 1289. The reversal of 1284 is 4821.

Added to its reverse (4821) it gives a triangular number (6105 = T110).

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

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

It is an amenable number.

1284 is an abundant number, since it is smaller than the sum of its proper divisors (1740).

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 (1512).

1284 is a wasteful number, since it uses less digits than its factorization.

1284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 1284 is about 35.8329457343. The cubic root of 1284 is about 10.8689687789.

Adding to 1284 its reverse (4821), we get a triangular number (6105 = T110).

It can be divided in two parts, 128 and 4, that multiplied together give a 9-th power (512 = 29).

The spelling of 1284 in words is "one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284