42284 has 18 divisors (see below), whose sum is σ = 83412. Its totient is φ = 18600.

The previous prime is 42283. The next prime is 42293. The reversal of 42284 is 48224.

It is not an unprimeable number, because it can be changed into a prime (42281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1349 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (4634).

2⁴²²⁸⁴ is an apocalyptic number.

42284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42284 is a deficient number, since it is larger than the sum of its proper divisors (41128).

42284 is a wasteful number, since it uses less digits than its factorization.

42284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 42284 is about 205.6307370020. The cubic root of 42284 is about 34.8384390512.

The spelling of 42284 in words is "forty-two thousand, two hundred eighty-four".