84126 has 16 divisors (see below), whose sum is σ = 192384. Its totient is φ = 24024.

The previous prime is 84121. The next prime is 84127. The reversal of 84126 is 62148.

It is a Harshad number since it is a multiple of its sum of digits (21).

84126 is a modest number, since divided by 126 gives 84 as remainder.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84126.

It is not an unprimeable number, because it can be changed into a prime (84121) by changing a digit.

84126 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, 960 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (12024).

2⁸⁴¹²⁶ is an apocalyptic number.

84126 is an abundant number, since it is smaller than the sum of its proper divisors (108258).

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 (96192).

84126 is a wasteful number, since it uses less digits than its factorization.

84126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015.

The product of its digits is 384, while the sum is 21.

The square root of 84126 is about 290.0448241221. The cubic root of 84126 is about 43.8170780549.

It can be divided in two parts, 84 and 126, that added together give a triangular number (210 = T₂₀).

The spelling of 84126 in words is "eighty-four thousand, one hundred twenty-six".