993960017 has 2 divisors, whose sum is σ = 993960018. Its totient is φ = 993960016.

The previous prime is 993959999. The next prime is 993960031. The reversal of 993960017 is 710069399.

It is a happy number.

993960017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 993447361 + 512656 = 31519^2 + 716^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-993960017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993960017.

It is not a weakly prime, because it can be changed into another prime (993960817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496980008 + 496980009.

It is an arithmetic number, because the mean of its divisors is an integer number (496980009).

Almost surely, 2^993960017 is an apocalyptic number.

It is an amenable number.

993960017 is a deficient number, since it is larger than the sum of its proper divisors (1).

993960017 is an equidigital number, since it uses as much as digits as its factorization.

993960017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91854, while the sum is 44.

The square root of 993960017 is about 31527.1314426162. The cubic root of 993960017 is about 997.9826051884.

The spelling of 993960017 in words is "nine hundred ninety-three million, nine hundred sixty thousand, seventeen".