138417 has 16 divisors (see below), whose sum is σ = 200640. Its totient is φ = 84672.

The previous prime is 138407. The next prime is 138427. The reversal of 138417 is 714831.

It is an interprime number because it is at equal distance from previous prime (138407) and next prime (138427).

It is not a de Polignac number, because 138417 - 2⁴ = 138401 is a prime.

Its product of digits (672) is a multiple of the sum of its prime divisors (112).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138417.

It is not an unprimeable number, because it can be changed into a prime (138407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3198 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2¹³⁸⁴¹⁷ is an apocalyptic number.

It is an amenable number.

138417 is a deficient number, since it is larger than the sum of its proper divisors (62223).

138417 is a wasteful number, since it uses less digits than its factorization.

138417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 672, while the sum is 24.

The square root of 138417 is about 372.0443521947. The cubic root of 138417 is about 51.7284911432.

It can be divided in two parts, 138 and 417, that added together give a palindrome (555).

The spelling of 138417 in words is "one hundred thirty-eight thousand, four hundred seventeen".