13735248 has 40 divisors (see below), whose sum is σ = 36072096. Its totient is φ = 4502400.

The previous prime is 13735247. The next prime is 13735261. The reversal of 13735248 is 84253731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 5273.

Almost surely, 2^13735248 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 13735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036048).

13735248 is an abundant number, since it is smaller than the sum of its proper divisors (22336848).

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

13735248 is a wasteful number, since it uses less digits than its factorization.

13735248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4757 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 13735248 is about 3706.1095504585. The cubic root of 13735248 is about 239.4852858001.

Adding to 13735248 its reverse (84253731), we get a palindrome (97988979).

The spelling of 13735248 in words is "thirteen million, seven hundred thirty-five thousand, two hundred forty-eight".