84138 has 16 divisors (see below), whose sum is σ = 173280. Its totient is φ = 27216.

The previous prime is 84137. The next prime is 84143. The reversal of 84138 is 83148.

It is a Curzon number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (84131) 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 7 ways as a sum of consecutive naturals, for example, 33 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2⁸⁴¹³⁸ is an apocalyptic number.

84138 is an abundant number, since it is smaller than the sum of its proper divisors (89142).

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 (86640).

84138 is a wasteful number, since it uses less digits than its factorization.

84138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its digits is 768, while the sum is 24.

The square root of 84138 is about 290.0655098422. The cubic root of 84138 is about 43.8191613583.

Subtracting from 84138 its reverse (83148), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 84 and 138, that added together give a palindrome (222).

The spelling of 84138 in words is "eighty-four thousand, one hundred thirty-eight".