138593 has 8 divisors (see below), whose sum is σ = 170688. Its totient is φ = 109584.

The previous prime is 138587. The next prime is 138599. The reversal of 138593 is 395831.

It is an interprime number because it is at equal distance from previous prime (138587) and next prime (138599).

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 138593 - 2⁴ = 138577 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138593.

It is not an unprimeable number, because it can be changed into a prime (138599) 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, 671 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (21336).

2¹³⁸⁵⁹³ is an apocalyptic number.

138593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138593 is a deficient number, since it is larger than the sum of its proper divisors (32095).

138593 is a wasteful number, since it uses less digits than its factorization.

138593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543.

The product of its digits is 3240, while the sum is 29.

The square root of 138593 is about 372.2808079931. The cubic root of 138593 is about 51.7504064629.

The spelling of 138593 in words is "one hundred thirty-eight thousand, five hundred ninety-three".