13917312 has 64 divisors (see below), whose sum is σ = 41085600. Its totient is φ = 4637952.

The previous prime is 13917301. The next prime is 13917313. The reversal of 13917312 is 21371931.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13917313) 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, 1443 + ... + 5469.

Almost surely, 2^13917312 is an apocalyptic number.

13917312 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 13917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542800).

13917312 is an abundant number, since it is smaller than the sum of its proper divisors (27168288).

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

13917312 is an equidigital number, since it uses as much as digits as its factorization.

13917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4032 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 13917312 is about 3730.5913740317. The cubic root of 13917312 is about 240.5387895358.

The spelling of 13917312 in words is "thirteen million, nine hundred seventeen thousand, three hundred twelve".