42884 has 12 divisors (see below), whose sum is σ = 76608. Its totient is φ = 21000.

The previous prime is 42863. The next prime is 42899. The reversal of 42884 is 48824.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42884.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 209 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁴²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

42884 is a deficient number, since it is larger than the sum of its proper divisors (33724).

42884 is a wasteful number, since it uses less digits than its factorization.

42884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 42884 is about 207.0845238061. The cubic root of 42884 is about 35.0024488083.

It can be divided in two parts, 428 and 84, that added together give a 9-th power (512 = 2⁹).

The spelling of 42884 in words is "forty-two thousand, eight hundred eighty-four".