823993 has 2 divisors, whose sum is σ = 823994. Its totient is φ = 823992.

The previous prime is 823981. The next prime is 823997. The reversal of 823993 is 399328.

823993 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., 692224 + 131769 = 832^2 + 363^2 .

It is a cyclic number.

It is not a de Polignac number, because 823993 - 2⁵ = 823961 is a prime.

It is not a weakly prime, because it can be changed into another prime (823997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411996 + 411997.

It is an arithmetic number, because the mean of its divisors is an integer number (411997).

2⁸²³⁹⁹³ is an apocalyptic number.

It is an amenable number.

823993 is a deficient number, since it is larger than the sum of its proper divisors (1).

823993 is an equidigital number, since it uses as much as digits as its factorization.

823993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 34.

The square root of 823993 is about 907.7406017139. The cubic root of 823993 is about 93.7506974763.

The spelling of 823993 in words is "eight hundred twenty-three thousand, nine hundred ninety-three".