13006938 has 32 divisors (see below), whose sum is σ = 31480704. Its totient is φ = 3497472.

The previous prime is 13006933. The next prime is 13006951. The reversal of 13006938 is 83960031.

13006938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13006938² = 338360872271688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13006933) 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, 8395 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (983772).

Almost surely, 2^13006938 is an apocalyptic number.

13006938 is an abundant number, since it is smaller than the sum of its proper divisors (18473766).

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

13006938 is a wasteful number, since it uses less digits than its factorization.

13006938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18246.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13006938 is about 3606.5132746186. The cubic root of 13006938 is about 235.1752909741.

Adding to 13006938 its reverse (83960031), we get a palindrome (96966969).

The spelling of 13006938 in words is "thirteen million, six thousand, nine hundred thirty-eight".