823729 has 2 divisors, whose sum is σ = 823730. Its totient is φ = 823728.

The previous prime is 823727. The next prime is 823741. The reversal of 823729 is 927328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 388129 = 660^2 + 623^2 .

It is a cyclic number.

It is not a de Polignac number, because 823729 - 2¹ = 823727 is a prime.

Together with 823727, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 7⁷ + 3² + 2⁷ + 9 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 823729.

It is not a weakly prime, because it can be changed into another prime (823721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411864 + 411865.

It is an arithmetic number, because the mean of its divisors is an integer number (411865).

2⁸²³⁷²⁹ is an apocalyptic number.

It is an amenable number.

823729 is a deficient number, since it is larger than the sum of its proper divisors (1).

823729 is an equidigital number, since it uses as much as digits as its factorization.

823729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

The square root of 823729 is about 907.5951740727. The cubic root of 823729 is about 93.7406841114.

The spelling of 823729 in words is "eight hundred twenty-three thousand, seven hundred twenty-nine".