5196 has 12 divisors (see below), whose sum is σ = 12152. Its totient is φ = 1728.

The previous prime is 5189. The next prime is 5197. The reversal of 5196 is 6915.

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

It is a plaindrome in base 13 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5196.

It is not an unprimeable number, because it can be changed into a prime (5197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 228.

2⁵¹⁹⁶ is an apocalyptic number.

It is an amenable number.

5196 is an abundant number, since it is smaller than the sum of its proper divisors (6956).

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 (6076).

5196 is a wasteful number, since it uses less digits than its factorization.

5196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 5196 is about 72.0832851638. The cubic root of 5196 is about 17.3203387155.

It can be divided in two parts, 519 and 6, that added together give a palindrome (525).

The spelling of 5196 in words is "five thousand, one hundred ninety-six".