13875444 has 72 divisors (see below), whose sum is σ = 39338208. Its totient is φ = 4086720.

The previous prime is 13875437. The next prime is 13875457. The reversal of 13875444 is 44457831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13875399 and 13875408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14179 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (546364).

Almost surely, 2^13875444 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 13875444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669104).

13875444 is an abundant number, since it is smaller than the sum of its proper divisors (25462764).

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

13875444 is a wasteful number, since it uses less digits than its factorization.

13875444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 13875444 is about 3724.9757046188. The cubic root of 13875444 is about 240.2973398022.

The spelling of 13875444 in words is "thirteen million, eight hundred seventy-five thousand, four hundred forty-four".