84642 has 8 divisors (see below), whose sum is σ = 169296. Its totient is φ = 28212.

The previous prime is 84631. The next prime is 84649. The reversal of 84642 is 24648.

It is a sphenic number, since it is the product of 3 distinct primes.

84642 is an admirable number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (84649) 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 3 ways as a sum of consecutive naturals, for example, 7048 + ... + 7059.

It is an arithmetic number, because the mean of its divisors is an integer number (21162).

2⁸⁴⁶⁴² is an apocalyptic number.

84642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84648).

84642 is a wasteful number, since it uses less digits than its factorization.

84642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112.

The product of its digits is 1536, while the sum is 24.

The square root of 84642 is about 290.9329819735. The cubic root of 84642 is about 43.9064818168.

Adding to 84642 its sum of digits (24), we get a triangular number (84666 = T₄₁₁).

It can be divided in two parts, 846 and 42, that added together give a palindrome (888).

The spelling of 84642 in words is "eighty-four thousand, six hundred forty-two".