823129 has 2 divisors, whose sum is σ = 823130. Its totient is φ = 823128.

The previous prime is 823127. The next prime is 823153. The reversal of 823129 is 921328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 403225 = 648^2 + 635^2 .

It is a cyclic number.

It is not a de Polignac number, because 823129 - 2¹ = 823127 is a prime.

It is a super-4 number, since 4×823129⁴ (a number of 25 digits) contains 4444 as substring.

Together with 823127, it forms a pair of twin primes.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (823127) 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, 411564 + 411565.

It is an arithmetic number, because the mean of its divisors is an integer number (411565).

2⁸²³¹²⁹ is an apocalyptic number.

It is an amenable number.

823129 is a deficient number, since it is larger than the sum of its proper divisors (1).

823129 is an equidigital number, since it uses as much as digits as its factorization.

823129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 823129 is about 907.2645700125. The cubic root of 823129 is about 93.7179185044.

The spelling of 823129 in words is "eight hundred twenty-three thousand, one hundred twenty-nine".