13538005 has 8 divisors (see below), whose sum is σ = 17495352. Its totient is φ = 9997248.

The previous prime is 13537987. The next prime is 13538009. The reversal of 13538005 is 50083531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 707281 + 12830724 = 841^2 + 3582^2 .

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 13538005 - 2⁵ = 13537973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538009) 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, 104074 + ... + 104203.

It is an arithmetic number, because the mean of its divisors is an integer number (2186919).

Almost surely, 2^13538005 is an apocalyptic number.

It is an amenable number.

13538005 is a deficient number, since it is larger than the sum of its proper divisors (3957347).

13538005 is a wasteful number, since it uses less digits than its factorization.

13538005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208295.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13538005 is about 3679.4028048041. The cubic root of 13538005 is about 238.3333898425. Note that the first 4 decimals are identical.

The spelling of 13538005 in words is "thirteen million, five hundred thirty-eight thousand, five".