13755348 has 36 divisors (see below), whose sum is σ = 35036820. Its totient is φ = 4550016.

The previous prime is 13755347. The next prime is 13755353. The reversal of 13755348 is 84355731.

It can be written as a sum of positive squares in 2 ways, for example, as 8363664 + 5391684 = 2892^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13755348² = 378419197202208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3538 + ... + 6326.

It is an arithmetic number, because the mean of its divisors is an integer number (973245).

Almost surely, 2^13755348 is an apocalyptic number.

13755348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13755348 is an abundant number, since it is smaller than the sum of its proper divisors (21281472).

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

13755348 is a wasteful number, since it uses less digits than its factorization.

13755348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2931 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 13755348 is about 3708.8202976149. The cubic root of 13755348 is about 239.6020488434.

The spelling of 13755348 in words is "thirteen million, seven hundred fifty-five thousand, three hundred forty-eight".