13305348 has 72 divisors (see below), whose sum is σ = 39504192. Its totient is φ = 3696192.

The previous prime is 13305323. The next prime is 13305349. The reversal of 13305348 is 84350331.

It is a happy number.

13305348 is a `hidden beast` number, since 13 + 305 + 348 = 666.

It is a super-2 number, since 2×13305348² = 354064570802208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13305349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8611 + ... + 10037.

Almost surely, 2^13305348 is an apocalyptic number.

13305348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752096).

13305348 is an abundant number, since it is smaller than the sum of its proper divisors (26198844).

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

13305348 is a wasteful number, since it uses less digits than its factorization.

13305348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13305348 is about 3647.6496542294. The cubic root of 13305348 is about 236.9602026857.

Adding to 13305348 its reverse (84350331), we get a palindrome (97655679).

The spelling of 13305348 in words is "thirteen million, three hundred five thousand, three hundred forty-eight".