84042 has 48 divisors (see below), whose sum is σ = 224640. Its totient is φ = 22176.

The previous prime is 84017. The next prime is 84047. The reversal of 84042 is 24048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (84047) by changing a digit.

84042 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 23 ways as a sum of consecutive naturals, for example, 2884 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁸⁴⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320).

84042 is an abundant number, since it is smaller than the sum of its proper divisors (140598).

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

84042 is a wasteful number, since it uses less digits than its factorization.

84042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 84042 is about 289.8999827527. The cubic root of 84042 is about 43.8024893813.

The spelling of 84042 in words is "eighty-four thousand, forty-two".