217933 has 2 divisors, whose sum is σ = 217934. Its totient is φ = 217932.

The previous prime is 217909. The next prime is 217937. The reversal of 217933 is 339712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 4489 = 462^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 217933 - 2⁵ = 217901 is a prime.

217933 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 217898 and 217907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108966 + 108967.

It is an arithmetic number, because the mean of its divisors is an integer number (108967).

2²¹⁷⁹³³ is an apocalyptic number.

It is an amenable number.

217933 is a deficient number, since it is larger than the sum of its proper divisors (1).

217933 is an equidigital number, since it uses as much as digits as its factorization.

217933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1134, while the sum is 25.

The square root of 217933 is about 466.8329465665. The cubic root of 217933 is about 60.1784502140.

The spelling of 217933 in words is "two hundred seventeen thousand, nine hundred thirty-three".