84392 has 32 divisors (see below), whose sum is σ = 198720. Its totient is φ = 32640.

The previous prime is 84391. The next prime is 84401. The reversal of 84392 is 29348.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84392.

It is not an unprimeable number, because it can be changed into a prime (84391) 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, 548 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (6210).

2⁸⁴³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99360).

84392 is an abundant number, since it is smaller than the sum of its proper divisors (114328).

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

84392 is a wasteful number, since it uses less digits than its factorization.

84392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 84392 is about 290.5030120326. The cubic root of 84392 is about 43.8632115525.

The spelling of 84392 in words is "eighty-four thousand, three hundred ninety-two".