5336 has 16 divisors (see below), whose sum is σ = 10800. Its totient is φ = 2464.

The previous prime is 5333. The next prime is 5347. The reversal of 5336 is 6335.

Subtracting 5336 from its reverse (6335), we obtain a palindrome (999).

5336 = T_{9} + T_{10} + ... +
T_{31}.

It is a happy number.

It is a house number.

Its product of digits (270) is a multiple of the sum of its prime divisors (54).

It is a plaindrome in base 15.

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 5336.

It is not an unprimeable number, because it can be changed into a prime (5333) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2^{5336} is an apocalyptic number.

It is an amenable number.

5336 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (5400).

5336 is a wasteful number, since it uses less digits than its factorization.

5336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 5336 is about 73.0479294710. The cubic root of 5336 is about 17.4745207444.

The spelling of 5336 in words is "five thousand, three hundred thirty-six".

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