13987314 has 48 divisors (see below), whose sum is σ = 33886944. Its totient is φ = 4132800.

The previous prime is 13987313. The next prime is 13987321. The reversal of 13987314 is 41378931.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13987313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7257 + ... + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (705978).

Almost surely, 2^13987314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13987314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943472).

13987314 is an abundant number, since it is smaller than the sum of its proper divisors (19899630).

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

13987314 is a wasteful number, since it uses less digits than its factorization.

13987314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1780 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 13987314 is about 3739.9617645104. The cubic root of 13987314 is about 240.9414066448.

The spelling of 13987314 in words is "thirteen million, nine hundred eighty-seven thousand, three hundred fourteen".