81396 has 72 divisors (see below), whose sum is σ = 262080. Its totient is φ = 20736.

The previous prime is 81373. The next prime is 81401. The reversal of 81396 is 69318.

Its product of digits (1296) is a multiple of the sum of its prime divisors (48).

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 81396.

It is an unprimeable number.

81396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4275 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2⁸¹³⁹⁶ 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 81396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

81396 is an abundant number, since it is smaller than the sum of its proper divisors (180684).

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

81396 is a wasteful number, since it uses less digits than its factorization.

81396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 48 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 81396 is about 285.2998422712. The cubic root of 81396 is about 43.3378824941.

It can be divided in two parts, 813 and 96, that added together give a palindrome (909).

The spelling of 81396 in words is "eighty-one thousand, three hundred ninety-six".