84162 has 24 divisors (see below), whose sum is σ = 184464. Its totient is φ = 25584.

The previous prime is 84143. The next prime is 84163. The reversal of 84162 is 26148.

84162 is a modest number, since divided by 162 gives 84 as remainder.

It is not an unprimeable number, because it can be changed into a prime (84163) by changing a digit.

84162 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 11 ways as a sum of consecutive naturals, for example, 973 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2⁸⁴¹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92232).

84162 is an abundant number, since it is smaller than the sum of its proper divisors (100302).

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

84162 is a wasteful number, since it uses less digits than its factorization.

84162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

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

The square root of 84162 is about 290.1068768575. The cubic root of 84162 is about 43.8233273708.

It can be divided in two parts, 841 and 62, that added together give a triangular number (903 = T₄₂).

The spelling of 84162 in words is "eighty-four thousand, one hundred sixty-two".