13395312 has 120 divisors (see below), whose sum is σ = 43601376. Its totient is φ = 3760128.

The previous prime is 13395307. The next prime is 13395313. The reversal of 13395312 is 21359331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395313) 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 23 ways as a sum of consecutive naturals, for example, 97708 + ... + 97844.

Almost surely, 2^13395312 is an apocalyptic number.

13395312 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 13395312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21800688).

13395312 is an abundant number, since it is smaller than the sum of its proper divisors (30206064).

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

13395312 is a wasteful number, since it uses less digits than its factorization.

13395312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13395312 is about 3659.9606555262. The cubic root of 13395312 is about 237.4930716354.

The spelling of 13395312 in words is "thirteen million, three hundred ninety-five thousand, three hundred twelve".