38113 has 2 divisors, whose sum is σ = 38114. Its totient is φ = 38112.

The previous prime is 38083. The next prime is 38119. The reversal of 38113 is 31183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 4624 = 183^2 + 68^2 .

It is an emirp because it is prime and its reverse (31183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38113 - 2¹³ = 29921 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (38119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19056 + 19057.

It is an arithmetic number, because the mean of its divisors is an integer number (19057).

2³⁸¹¹³ is an apocalyptic number.

It is an amenable number.

38113 is a deficient number, since it is larger than the sum of its proper divisors (1).

38113 is an equidigital number, since it uses as much as digits as its factorization.

38113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 38113 is about 195.2255106281. The cubic root of 38113 is about 33.6530459339.

Adding to 38113 its reverse (31183), we get a palindrome (69296).

It can be divided in two parts, 38 and 113, that added together give a palindrome (151).

The spelling of 38113 in words is "thirty-eight thousand, one hundred thirteen".