10284 has 12 divisors (see below), whose sum is σ = 24024. Its totient is φ = 3424.

The previous prime is 10273. The next prime is 10289. The reversal of 10284 is 48201.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10289) 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 in 3 ways as a sum of consecutive naturals, for example, 417 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (2002).

2¹⁰²⁸⁴ is an apocalyptic number.

It is an amenable number.

10284 is an abundant number, since it is smaller than the sum of its proper divisors (13740).

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 (12012).

10284 is a wasteful number, since it uses less digits than its factorization.

10284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

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

The square root of 10284 is about 101.4100586727. The cubic root of 10284 is about 21.7463991925.

Adding to 10284 its reverse (48201), we get a palindrome (58485).

The spelling of 10284 in words is "ten thousand, two hundred eighty-four".