138577 has 2 divisors, whose sum is σ = 138578. Its totient is φ = 138576.

The previous prime is 138571. The next prime is 138581. The reversal of 138577 is 775831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 15376 = 351^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 138577 - 2³ = 138569 is a prime.

It is not a weakly prime, because it can be changed into another prime (138571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69288 + 69289.

It is an arithmetic number, because the mean of its divisors is an integer number (69289).

2¹³⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

138577 is a deficient number, since it is larger than the sum of its proper divisors (1).

138577 is an equidigital number, since it uses as much as digits as its factorization.

138577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5880, while the sum is 31.

The square root of 138577 is about 372.2593182178. The cubic root of 138577 is about 51.7484149281.

The spelling of 138577 in words is "one hundred thirty-eight thousand, five hundred seventy-seven".