13347312 has 80 divisors (see below), whose sum is σ = 39854592. Its totient is φ = 3804160.

The previous prime is 13347311. The next prime is 13347331. The reversal of 13347312 is 21374331.

It is a super-4 number, since 4×13347312⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13347311) 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 15 ways as a sum of consecutive naturals, for example, 8233 + ... + 9719.

Almost surely, 2^13347312 is an apocalyptic number.

13347312 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 13347312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927296).

13347312 is an abundant number, since it is smaller than the sum of its proper divisors (26507280).

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

13347312 is a wasteful number, since it uses less digits than its factorization.

13347312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1520 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 13347312 is about 3653.3973230406. The cubic root of 13347312 is about 237.2090590665.

It can be divided in two parts, 1334 and 7312, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13347312 in words is "thirteen million, three hundred forty-seven thousand, three hundred twelve".