13523364 has 72 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 4015872.

The previous prime is 13523359. The next prime is 13523369. The reversal of 13523364 is 46332531.

It is a happy number.

13523364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13523359) and next prime (13523369).

It is not an unprimeable number, because it can be changed into a prime (13523369) 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, 11047 + ... + 12209.

It is an arithmetic number, because the mean of its divisors is an integer number (529620).

Almost surely, 2^13523364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13523364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066320).

13523364 is an abundant number, since it is smaller than the sum of its proper divisors (24609276).

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

13523364 is a wasteful number, since it uses less digits than its factorization.

13523364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 13523364 is about 3677.4126774133. The cubic root of 13523364 is about 238.2474417324.

Adding to 13523364 its reverse (46332531), we get a palindrome (59855895).

The spelling of 13523364 in words is "thirteen million, five hundred twenty-three thousand, three hundred sixty-four".