217125 has 24 divisors (see below), whose sum is σ = 393432. Its totient is φ = 115200.

The previous prime is 217121. The next prime is 217157. The reversal of 217125 is 521712.

It can be written as a sum of positive squares in 4 ways, for example, as 25281 + 191844 = 159^2 + 438^2 .

It is not a de Polignac number, because 217125 - 2² = 217121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217098 and 217107.

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 217125.

It is not an unprimeable number, because it can be changed into a prime (217121) 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 23 ways as a sum of consecutive naturals, for example, 1029 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (16393).

2²¹⁷¹²⁵ is an apocalyptic number.

217125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217125 is a deficient number, since it is larger than the sum of its proper divisors (176307).

217125 is a wasteful number, since it uses less digits than its factorization.

217125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 217125 is about 465.9667370103. The cubic root of 217125 is about 60.1039863432.

Adding to 217125 its reverse (521712), we get a palindrome (738837).

The spelling of 217125 in words is "two hundred seventeen thousand, one hundred twenty-five".