217092641 has 2 divisors, whose sum is σ = 217092642. Its totient is φ = 217092640.

The previous prime is 217092599. The next prime is 217092643. The reversal of 217092641 is 146290712.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208513600 + 8579041 = 14440^2 + 2929^2 .

It is a cyclic number.

It is not a de Polignac number, because 217092641 - 2¹⁴ = 217076257 is a prime.

Together with 217092643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 217092598 and 217092607.

It is not a weakly prime, because it can be changed into another prime (217092643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108546320 + 108546321.

It is an arithmetic number, because the mean of its divisors is an integer number (108546321).

Almost surely, 2^217092641 is an apocalyptic number.

It is an amenable number.

217092641 is a deficient number, since it is larger than the sum of its proper divisors (1).

217092641 is an equidigital number, since it uses as much as digits as its factorization.

217092641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 217092641 is about 14734.0639675549. The cubic root of 217092641 is about 601.0100034972.

The spelling of 217092641 in words is "two hundred seventeen million, ninety-two thousand, six hundred forty-one".