217313 has 2 divisors, whose sum is σ = 217314. Its totient is φ = 217312.

The previous prime is 217309. The next prime is 217319. The reversal of 217313 is 313712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 8464 = 457^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 217313 - 2² = 217309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217291 and 217300.

It is not a weakly prime, because it can be changed into another prime (217319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108656 + 108657.

It is an arithmetic number, because the mean of its divisors is an integer number (108657).

2²¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

217313 is a deficient number, since it is larger than the sum of its proper divisors (1).

217313 is an equidigital number, since it uses as much as digits as its factorization.

217313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 17.

The square root of 217313 is about 466.1684244991. The cubic root of 217313 is about 60.1213285650.

The spelling of 217313 in words is "two hundred seventeen thousand, three hundred thirteen".