13385352 has 64 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4262400.

The previous prime is 13385347. The next prime is 13385357. The reversal of 13385352 is 25358331.

It is an interprime number because it is at equal distance from previous prime (13385347) and next prime (13385357).

It is not an unprimeable number, because it can be changed into a prime (13385357) 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, 59913 + ... + 60135.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^13385352 is an apocalyptic number.

13385352 is a gapful number since it is divisible by the number (12) 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 13385352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13385352 is an abundant number, since it is smaller than the sum of its proper divisors (21612408).

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

13385352 is a wasteful number, since it uses less digits than its factorization.

13385352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 13385352 is about 3658.5997321380. The cubic root of 13385352 is about 237.4341948805.

It can be divided in two parts, 1338 and 5352, that multiplied together give a square (7160976 = 2676²).

The spelling of 13385352 in words is "thirteen million, three hundred eighty-five thousand, three hundred fifty-two".