13775344 has 80 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 5772800.

The previous prime is 13775341. The next prime is 13775347. The reversal of 13775344 is 44357731.

It is an interprime number because it is at equal distance from previous prime (13775341) and next prime (13775347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775341) 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, 165927 + ... + 166009.

Almost surely, 2^13775344 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 13775344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

13775344 is an abundant number, since it is smaller than the sum of its proper divisors (17722640).

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

13775344 is a wasteful number, since it uses less digits than its factorization.

13775344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 13775344 is about 3711.5150545296. The cubic root of 13775344 is about 239.7180949286.

The spelling of 13775344 in words is "thirteen million, seven hundred seventy-five thousand, three hundred forty-four".