138047 has 16 divisors (see below), whose sum is σ = 178752. Its totient is φ = 103680.

The previous prime is 138041. The next prime is 138053. The reversal of 138047 is 740831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138041) and next prime (138053).

It is a cyclic number.

It is not a de Polignac number, because 138047 - 2⁶ = 137983 is a prime.

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 138047.

It is not an unprimeable number, because it can be changed into a prime (138041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3347 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹³⁸⁰⁴⁷ is an apocalyptic number.

138047 is a deficient number, since it is larger than the sum of its proper divisors (40705).

138047 is a wasteful number, since it uses less digits than its factorization.

138047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 138047 is about 371.5467669083. The cubic root of 138047 is about 51.6823585127.

Adding to 138047 its reverse (740831), we get a palindrome (878878).

The spelling of 138047 in words is "one hundred thirty-eight thousand, forty-seven".