13507364 has 24 divisors (see below), whose sum is σ = 25558008. Its totient is φ = 6209280.

The previous prime is 13507363. The next prime is 13507369. The reversal of 13507364 is 46370531.

It can be written as a sum of positive squares in 4 ways, for example, as 2748964 + 10758400 = 1658^2 + 3280^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13507363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21584 + ... + 22200.

It is an arithmetic number, because the mean of its divisors is an integer number (1064917).

Almost surely, 2^13507364 is an apocalyptic number.

It is an amenable number.

13507364 is a deficient number, since it is larger than the sum of its proper divisors (12050644).

13507364 is a wasteful number, since it uses less digits than its factorization.

13507364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 13507364 is about 3675.2365910238. The cubic root of 13507364 is about 238.1534448193.

Adding to 13507364 its reverse (46370531), we get a palindrome (59877895).

The spelling of 13507364 in words is "thirteen million, five hundred seven thousand, three hundred sixty-four".