13038738 has 16 divisors (see below), whose sum is σ = 26714016. Its totient is φ = 4240160.

The previous prime is 13038733. The next prime is 13038743. The reversal of 13038738 is 83783031.

13038738 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13038733) and next prime (13038743).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13038699 and 13038708.

It is not an unprimeable number, because it can be changed into a prime (13038733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26256 + ... + 26747.

It is an arithmetic number, because the mean of its divisors is an integer number (1669626).

Almost surely, 2^13038738 is an apocalyptic number.

13038738 is an abundant number, since it is smaller than the sum of its proper divisors (13675278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13038738 is a wasteful number, since it uses less digits than its factorization.

13038738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53049.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13038738 is about 3610.9192735369. The cubic root of 13038738 is about 235.3667910247.

The spelling of 13038738 in words is "thirteen million, thirty-eight thousand, seven hundred thirty-eight".