13314364 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 5213376.

The previous prime is 13314361. The next prime is 13314373. The reversal of 13314364 is 46341331.

It is a happy number.

13314364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13314364³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13314361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14997 + ... + 15859.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^13314364 is an apocalyptic number.

13314364 is a gapful number since it is divisible by the number (14) 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 13314364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

13314364 is an abundant number, since it is smaller than the sum of its proper divisors (15716036).

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

13314364 is a wasteful number, since it uses less digits than its factorization.

13314364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 13314364 is about 3648.8853092417. The cubic root of 13314364 is about 237.0137137702.

Adding to 13314364 its reverse (46341331), we get a palindrome (59655695).

The spelling of 13314364 in words is "thirteen million, three hundred fourteen thousand, three hundred sixty-four".