17138 has 16 divisors (see below), whose sum is σ = 30240. Its totient is φ = 7200.

The previous prime is 17137. The next prime is 17159. The reversal of 17138 is 83171.

17138 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×17138² = 587422088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹⁷¹³⁸ is an apocalyptic number.

17138 is a deficient number, since it is larger than the sum of its proper divisors (13102).

17138 is a wasteful number, since it uses less digits than its factorization.

17138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its digits is 168, while the sum is 20.

The square root of 17138 is about 130.9121843069. The cubic root of 17138 is about 25.7822043418.

It can be divided in two parts, 17 and 138, that multiplied together give a triangular number (2346 = T₆₈).

The spelling of 17138 in words is "seventeen thousand, one hundred thirty-eight".