84942 has 48 divisors (see below), whose sum is σ = 223440. Its totient is φ = 23760.

The previous prime is 84919. The next prime is 84947. The reversal of 84942 is 24948.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6528 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

2⁸⁴⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

84942 is an abundant number, since it is smaller than the sum of its proper divisors (138498).

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

84942 is a wasteful number, since it uses less digits than its factorization.

84942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

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

The square root of 84942 is about 291.4481085888. The cubic root of 84942 is about 43.9582938139.

It can be divided in two parts, 8 and 4942, that added together give a triangular number (4950 = T₉₉).

The spelling of 84942 in words is "eighty-four thousand, nine hundred forty-two".