717993 has 6 divisors (see below), whose sum is σ = 1037114. Its totient is φ = 478656.

The previous prime is 717989. The next prime is 718007. The reversal of 717993 is 399717.

It can be written as a sum of positive squares in only one way, i.e., 700569 + 17424 = 837^2 + 132^2 .

It is not a de Polignac number, because 717993 - 2² = 717989 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 717993.

It is not an unprimeable number, because it can be changed into a prime (717923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39880 + ... + 39897.

2⁷¹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

717993 is a deficient number, since it is larger than the sum of its proper divisors (319121).

717993 is a wasteful number, since it uses less digits than its factorization.

717993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79783 (or 79780 counting only the distinct ones).

The product of its digits is 11907, while the sum is 36.

The square root of 717993 is about 847.3446760321. The cubic root of 717993 is about 89.5447379924.

The spelling of 717993 in words is "seven hundred seventeen thousand, nine hundred ninety-three".