10336 has 24 divisors (see below), whose sum is σ = 22680. Its totient is φ = 4608.

The previous prime is 10333. The next prime is 10337. The reversal of 10336 is 63301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331) 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, 535 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2¹⁰³³⁶ is an apocalyptic number.

10336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

10336 is an abundant number, since it is smaller than the sum of its proper divisors (12344).

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

10336 is a wasteful number, since it uses less digits than its factorization.

10336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10336 is about 101.6661202171. Note that the first 3 decimals coincide. The cubic root of 10336 is about 21.7829904069.

Adding to 10336 its reverse (63301), we get a palindrome (73637).

The spelling of 10336 in words is "ten thousand, three hundred thirty-six".