13538733 has 16 divisors (see below), whose sum is σ = 19916736. Its totient is φ = 8127360.

The previous prime is 13538731. The next prime is 13538779. The reversal of 13538733 is 33783531.

It is not a de Polignac number, because 13538733 - 2¹ = 13538731 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13538694 and 13538703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2635 + ... + 5832.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796).

Almost surely, 2^13538733 is an apocalyptic number.

13538733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13538733 is a deficient number, since it is larger than the sum of its proper divisors (6378003).

13538733 is a wasteful number, since it uses less digits than its factorization.

13538733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524.

The product of its digits is 22680, while the sum is 33.

The square root of 13538733 is about 3679.5017325720. The cubic root of 13538733 is about 238.3376618554.

The spelling of 13538733 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred thirty-three".