284 has 6 divisors (see below), whose sum is σ = 504. Its totient is φ = 140.

The previous prime is 283. The next prime is 293. The reversal of 284 is 482.

It can be divided in two parts, 28 and 4, that added together give a 5-th power (32 = 2^{5}).

284 = 2^{2} + 3^{2} + ... + 9^{2}.

284 is nontrivially palindromic in base 8.

284 is an esthetic number in base 8 and base 9, because in such bases its adjacent digits differ by 1.

Together with 220 it forms an amicable pair .

284 is an undulating number in base 8.

It is a plaindrome in base 9, base 11, base 13, base 15 and base 16.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32 + ... + 39.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

It is an amenable number.

284 is a deficient number, since it is larger than the sum of its proper divisors (220).

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

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

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 284 is about 16.8522995464. The cubic root of 284 is about 6.5731384514.

The spelling of 284 in words is "two hundred eighty-four", and thus it is an aban number.

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