9985601 has 2 divisors, whose sum is σ = 9985602. Its totient is φ = 9985600.

The previous prime is 9985559. The next prime is 9985607. The reversal of 9985601 is 1065899.

It is a Cunningham number, because it is equal to 3160²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 1 = 3160^2 + 1^2 .

It is an emirp because it is prime and its reverse (1065899) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9985601 - 2¹⁰ = 9984577 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9985607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4992800 + 4992801.

It is an arithmetic number, because the mean of its divisors is an integer number (4992801).

Almost surely, 2^9985601 is an apocalyptic number.

It is an amenable number.

9985601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9985601 is an equidigital number, since it uses as much as digits as its factorization.

9985601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 9985601 is about 3160.0001582278. Note that the first 3 decimals coincide. The cubic root of 9985601 is about 215.3400136485.

The spelling of 9985601 in words is "nine million, nine hundred eighty-five thousand, six hundred one".