138327 has 12 divisors (see below), whose sum is σ = 214776. Its totient is φ = 78960.

The previous prime is 138323. The next prime is 138337. The reversal of 138327 is 723831.

138327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138327 - 2² = 138323 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138297 and 138306.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138327.

It is not an unprimeable number, because it can be changed into a prime (138323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (17898).

2¹³⁸³²⁷ is an apocalyptic number.

138327 is a deficient number, since it is larger than the sum of its proper divisors (76449).

138327 is an equidigital number, since it uses as much as digits as its factorization.

138327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 951 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 138327 is about 371.9233792060. The cubic root of 138327 is about 51.7172772663.

It can be divided in two parts, 138 and 327, that added together give a triangular number (465 = T₃₀).

The spelling of 138327 in words is "one hundred thirty-eight thousand, three hundred twenty-seven".