13538041 has 24 divisors (see below), whose sum is σ = 16208640. Its totient is φ = 11188800.

The previous prime is 13538039. The next prime is 13538071. The reversal of 13538041 is 14083531.

It is not a de Polignac number, because 13538041 - 2¹ = 13538039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13537997 and 13538015.

It is not an unprimeable number, because it can be changed into a prime (13538071) 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, 365875 + ... + 365911.

It is an arithmetic number, because the mean of its divisors is an integer number (675360).

Almost surely, 2^13538041 is an apocalyptic number.

13538041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13538041 is a deficient number, since it is larger than the sum of its proper divisors (2670599).

13538041 is a wasteful number, since it uses less digits than its factorization.

13538041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 13538041 is about 3679.4076968991. The cubic root of 13538041 is about 238.3336010995. Note that the first 3 decimals are identical.

Subtracting 13538041 from its reverse (14083531), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 13538041 in words is "thirteen million, five hundred thirty-eight thousand, forty-one".