788993 has 2 divisors, whose sum is σ = 788994. Its totient is φ = 788992.

The previous prime is 788971. The next prime is 788999. The reversal of 788993 is 399887.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 588289 + 200704 = 767^2 + 448^2 .

It is an emirp because it is prime and its reverse (399887) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 788993 - 2¹² = 784897 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (788999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 394496 + 394497.

It is an arithmetic number, because the mean of its divisors is an integer number (394497).

2⁷⁸⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

788993 is a deficient number, since it is larger than the sum of its proper divisors (1).

788993 is an equidigital number, since it uses as much as digits as its factorization.

788993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 44.

The square root of 788993 is about 888.2527793371. The cubic root of 788993 is about 92.4040592783.

The spelling of 788993 in words is "seven hundred eighty-eight thousand, nine hundred ninety-three".