81084 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 25984.

The previous prime is 81083. The next prime is 81097. The reversal of 81084 is 48018.

It is a self number, because there is not a number n which added to its sum of digits gives 81084.

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 81084.

It is not an unprimeable number, because it can be changed into a prime (81083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸¹⁰⁸⁴ 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 81084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

81084 is an abundant number, since it is smaller than the sum of its proper divisors (115476).

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

81084 is a wasteful number, since it uses less digits than its factorization.

81084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 81084 is about 284.7525241328. The cubic root of 81084 is about 43.2824386042.

The spelling of 81084 in words is "eighty-one thousand, eighty-four".