13332352 has 64 divisors (see below), whose sum is σ = 30734640. Its totient is φ = 5693440.

The previous prime is 13332337. The next prime is 13332353. The reversal of 13332352 is 25323331.

It is a happy number.

13332352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×13332352³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23658 + ... + 24214.

Almost surely, 2^13332352 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 13332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367320).

13332352 is an abundant number, since it is smaller than the sum of its proper divisors (17402288).

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

13332352 is a wasteful number, since it uses less digits than its factorization.

13332352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its digits is 1620, while the sum is 22.

The square root of 13332352 is about 3651.3493396277. The cubic root of 13332352 is about 237.1204026600.

Adding to 13332352 its reverse (25323331), we get a palindrome (38655683).

The spelling of 13332352 in words is "thirteen million, three hundred thirty-two thousand, three hundred fifty-two".