138527 has 4 divisors (see below), whose sum is σ = 140280. Its totient is φ = 136776.

The previous prime is 138517. The next prime is 138547. The reversal of 138527 is 725831.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 725831 = 109 ⋅6659.

It is a cyclic number.

It is not a de Polignac number, because 138527 - 2⁴ = 138511 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138496 and 138505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 752 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (35070).

2¹³⁸⁵²⁷ is an apocalyptic number.

138527 is a deficient number, since it is larger than the sum of its proper divisors (1753).

138527 is an equidigital number, since it uses as much as digits as its factorization.

138527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752.

The product of its digits is 1680, while the sum is 26.

The square root of 138527 is about 372.1921546728. The cubic root of 138527 is about 51.7421903935.

The spelling of 138527 in words is "one hundred thirty-eight thousand, five hundred twenty-seven".