138461 has 2 divisors, whose sum is σ = 138462. Its totient is φ = 138460.

The previous prime is 138451. The next prime is 138469. The reversal of 138461 is 164831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109561 + 28900 = 331^2 + 170^2 .

It is an emirp because it is prime and its reverse (164831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138461 - 2¹⁰ = 137437 is a prime.

It is a Chen 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 138461.

It is not a weakly prime, because it can be changed into another prime (138469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69230 + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (69231).

2¹³⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

138461 is a deficient number, since it is larger than the sum of its proper divisors (1).

138461 is an equidigital number, since it uses as much as digits as its factorization.

138461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 23.

The square root of 138461 is about 372.1034802310. The cubic root of 138461 is about 51.7339717139.

The spelling of 138461 in words is "one hundred thirty-eight thousand, four hundred sixty-one".