823997 has 2 divisors, whose sum is σ = 823998. Its totient is φ = 823996.

The previous prime is 823993. The next prime is 824017. The reversal of 823997 is 799328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 606841 + 217156 = 779^2 + 466^2 .

It is a cyclic number.

It is not a de Polignac number, because 823997 - 2² = 823993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 823997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823993) 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 as a sum of consecutive naturals, namely, 411998 + 411999.

It is an arithmetic number, because the mean of its divisors is an integer number (411999).

2⁸²³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

823997 is a deficient number, since it is larger than the sum of its proper divisors (1).

823997 is an equidigital number, since it uses as much as digits as its factorization.

823997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 823997 is about 907.7428049839. The cubic root of 823997 is about 93.7508491775.

The spelling of 823997 in words is "eight hundred twenty-three thousand, nine hundred ninety-seven".