138383 has 8 divisors (see below), whose sum is σ = 161568. Its totient is φ = 116064.

The previous prime is 138373. The next prime is 138389. The reversal of 138383 is 383831.

138383 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 372²-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138383 - 2⁶ = 138319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138389) 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, 185 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (20196).

2¹³⁸³⁸³ is an apocalyptic number.

138383 is a deficient number, since it is larger than the sum of its proper divisors (23185).

138383 is an equidigital number, since it uses as much as digits as its factorization.

138383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its digits is 1728, while the sum is 26.

The square root of 138383 is about 371.9986559116. The cubic root of 138383 is about 51.7242553612.

It can be divided in two parts, 13838 and 3, that multiplied together give a palindrome (41514).

The spelling of 138383 in words is "one hundred thirty-eight thousand, three hundred eighty-three".