9705438401 has 2 divisors, whose sum is σ = 9705438402. Its totient is φ = 9705438400.

The previous prime is 9705438313. The next prime is 9705438437. The reversal of 9705438401 is 1048345079.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9482085376 + 223353025 = 97376^2 + 14945^2 .

It is an emirp because it is prime and its reverse (1048345079) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9705438401 - 2¹⁴ = 9705422017 is a prime.

It is not a weakly prime, because it can be changed into another prime (9705438481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4852719200 + 4852719201.

It is an arithmetic number, because the mean of its divisors is an integer number (4852719201).

Almost surely, 2^9705438401 is an apocalyptic number.

It is an amenable number.

9705438401 is a deficient number, since it is larger than the sum of its proper divisors (1).

9705438401 is an equidigital number, since it uses as much as digits as its factorization.

9705438401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 9705438401 is about 98516.1834471880. The cubic root of 9705438401 is about 2133.0697287871.

The spelling of 9705438401 in words is "nine billion, seven hundred five million, four hundred thirty-eight thousand, four hundred one".