723829 has 2 divisors, whose sum is σ = 723830. Its totient is φ = 723828.

The previous prime is 723823. The next prime is 723839. The reversal of 723829 is 928327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 87025 = 798^2 + 295^2 .

It is a cyclic number.

It is not a de Polignac number, because 723829 - 2⁵ = 723797 is a prime.

723829 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 723829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (723823) 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, 361914 + 361915.

It is an arithmetic number, because the mean of its divisors is an integer number (361915).

2⁷²³⁸²⁹ is an apocalyptic number.

It is an amenable number.

723829 is a deficient number, since it is larger than the sum of its proper divisors (1).

723829 is an equidigital number, since it uses as much as digits as its factorization.

723829 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 723829 is about 850.7814055326. The cubic root of 723829 is about 89.7866965079.

It can be divided in two parts, 7238 and 29, that multiplied together give a palindrome (209902).

The spelling of 723829 in words is "seven hundred twenty-three thousand, eight hundred twenty-nine".