13735424 has 40 divisors (see below), whose sum is σ = 27784680. Its totient is φ = 6782976.

The previous prime is 13735411. The next prime is 13735429. The reversal of 13735424 is 42453731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735429) 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, 71072 + ... + 71264.

It is an arithmetic number, because the mean of its divisors is an integer number (694617).

Almost surely, 2^13735424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892340).

13735424 is an abundant number, since it is smaller than the sum of its proper divisors (14049256).

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

13735424 is an equidigital number, since it uses as much as digits as its factorization.

13735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 13735424 is about 3706.1332949585. The cubic root of 13735424 is about 239.4863086970.

The spelling of 13735424 in words is "thirteen million, seven hundred thirty-five thousand, four hundred twenty-four".