217323792401 has 2 divisors, whose sum is σ = 217323792402. Its totient is φ = 217323792400.

The previous prime is 217323792359. The next prime is 217323792409. The reversal of 217323792401 is 104297323712.

It is a Cunningham number, because it is equal to 466180²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217323792400 + 1 = 466180^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217323792401 is a prime.

It is not a weakly prime, because it can be changed into another prime (217323792409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108661896200 + 108661896201.

It is an arithmetic number, because the mean of its divisors is an integer number (108661896201).

Almost surely, 2^217323792401 is an apocalyptic number.

It is an amenable number.

217323792401 is a deficient number, since it is larger than the sum of its proper divisors (1).

217323792401 is an equidigital number, since it uses as much as digits as its factorization.

217323792401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 217323792401 in words is "two hundred seventeen billion, three hundred twenty-three million, seven hundred ninety-two thousand, four hundred one".