13975104 has 112 divisors (see below), whose sum is σ = 43525440. Its totient is φ = 3901440.

The previous prime is 13975103. The next prime is 13975109. The reversal of 13975104 is 40157931.

It is not an unprimeable number, because it can be changed into a prime (13975103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27202 + ... + 27710.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 2^13975104 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 13975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762720).

13975104 is an abundant number, since it is smaller than the sum of its proper divisors (29550336).

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

13975104 is a wasteful number, since it uses less digits than its factorization.

13975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 13975104 is about 3738.3290384877. The cubic root of 13975104 is about 240.8712775975.

The spelling of 13975104 in words is "thirteen million, nine hundred seventy-five thousand, one hundred four".