17125 has 8 divisors (see below), whose sum is σ = 21528. Its totient is φ = 13600.

The previous prime is 17123. The next prime is 17137. The reversal of 17125 is 52171.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 16641 = 22^2 + 129^2 .

It is not a de Polignac number, because 17125 - 2¹ = 17123 is a prime.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

17125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 17099 and 17108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17123) 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, 57 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (2691).

2¹⁷¹²⁵ is an apocalyptic number.

It is an amenable number.

17125 is a deficient number, since it is larger than the sum of its proper divisors (4403).

17125 is an equidigital number, since it uses as much as digits as its factorization.

17125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 70, while the sum is 16.

The square root of 17125 is about 130.8625232830. The cubic root of 17125 is about 25.7756836774.

Adding to 17125 its reverse (52171), we get a palindrome (69296).

It can be divided in two parts, 171 and 25, that added together give a square (196 = 14²).

The spelling of 17125 in words is "seventeen thousand, one hundred twenty-five".