42984 has 32 divisors (see below), whose sum is σ = 120000. Its totient is φ = 14256.

The previous prime is 42979. The next prime is 42989. The reversal of 42984 is 48924.

It is an interprime number because it is at equal distance from previous prime (42979) and next prime (42989).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (42989) by changing a digit.

42984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (3750).

2⁴²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60000).

42984 is an abundant number, since it is smaller than the sum of its proper divisors (77016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42984 is a wasteful number, since it uses less digits than its factorization.

42984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42984 is about 207.3258305181. The cubic root of 42984 is about 35.0296347649.

It can be divided in two parts, 42 and 984, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 42984 in words is "forty-two thousand, nine hundred eighty-four".