13735936 has 48 divisors (see below), whose sum is σ = 28992600. Its totient is φ = 6488064.

The previous prime is 13735933. The next prime is 13735951. The reversal of 13735936 is 63953731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13735895 and 13735904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38736 + ... + 39088.

Almost surely, 2^13735936 is an apocalyptic number.

13735936 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 13735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496300).

13735936 is an abundant number, since it is smaller than the sum of its proper divisors (15256664).

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

13735936 is an equidigital number, since it uses as much as digits as its factorization.

13735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its digits is 51030, while the sum is 37.

The square root of 13735936 is about 3706.2023690025. The cubic root of 13735936 is about 239.4892843476.

The spelling of 13735936 in words is "thirteen million, seven hundred thirty-five thousand, nine hundred thirty-six".