993617 has 2 divisors, whose sum is σ = 993618. Its totient is φ = 993616.

The previous prime is 993611. The next prime is 993647. The reversal of 993617 is 716399.

993617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 638401 + 355216 = 799^2 + 596^2 .

It is an emirp because it is prime and its reverse (716399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993617 - 2¹⁴ = 977233 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993617.

It is not a weakly prime, because it can be changed into another prime (993611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496808 + 496809.

It is an arithmetic number, because the mean of its divisors is an integer number (496809).

2⁹⁹³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

993617 is an equidigital number, since it uses as much as digits as its factorization.

993617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10206, while the sum is 35.

The square root of 993617 is about 996.8033908450. The cubic root of 993617 is about 99.7867790246.

The spelling of 993617 in words is "nine hundred ninety-three thousand, six hundred seventeen".