217142033 has 2 divisors, whose sum is σ = 217142034. Its totient is φ = 217142032.

The previous prime is 217141997. The next prime is 217142039. The reversal of 217142033 is 330241712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161086864 + 56055169 = 12692^2 + 7487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217142033 is a prime.

It is not a weakly prime, because it can be changed into another prime (217142039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108571016 + 108571017.

It is an arithmetic number, because the mean of its divisors is an integer number (108571017).

Almost surely, 2^217142033 is an apocalyptic number.

It is an amenable number.

217142033 is a deficient number, since it is larger than the sum of its proper divisors (1).

217142033 is an equidigital number, since it uses as much as digits as its factorization.

217142033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 217142033 is about 14735.7399882055. The cubic root of 217142033 is about 601.0555797927.

Adding to 217142033 its reverse (330241712), we get a palindrome (547383745).

The spelling of 217142033 in words is "two hundred seventeen million, one hundred forty-two thousand, thirty-three".