13580065 has 8 divisors (see below), whose sum is σ = 16479720. Its totient is φ = 10741632.

The previous prime is 13580057. The next prime is 13580069. The reversal of 13580065 is 56008531.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 12952801 = 792^2 + 3599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13580065 - 2³ = 13580057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13580069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14814 + ... + 15703.

It is an arithmetic number, because the mean of its divisors is an integer number (2059965).

Almost surely, 2^13580065 is an apocalyptic number.

It is an amenable number.

13580065 is a deficient number, since it is larger than the sum of its proper divisors (2899655).

13580065 is an equidigital number, since it uses as much as digits as its factorization.

13580065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30611.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 13580065 is about 3685.1139738141. The cubic root of 13580065 is about 238.5799534747.

Adding to 13580065 its reverse (56008531), we get a palindrome (69588596).

It can be divided in two parts, 135 and 80065, that added together give a triangular number (80200 = T₄₀₀).

The spelling of 13580065 in words is "thirteen million, five hundred eighty thousand, sixty-five".