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8196 = 223683

8196 has 12 divisors (see below), whose sum is σ = 19152. Its totient is φ = 2728.

The previous prime is 8191. The next prime is 8209. The reversal of 8196 is 6918.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8196.

It is not an unprimeable number, because it can be changed into a prime (8191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 330 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (1596).

28196 is an apocalyptic number.

It is an amenable number.

8196 is an abundant number, since it is smaller than the sum of its proper divisors (10956).

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 (9576).

8196 is a wasteful number, since it uses less digits than its factorization.

8196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 8196 is about 90.5317623821. The cubic root of 8196 is about 20.1620173088.

It can be divided in two parts, 81 and 96, that multiplied together give a 5-th power (7776 = 65).

The spelling of 8196 in words is "eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 683 1366 2049 2732 4098 8196