123829 has 2 divisors, whose sum is σ = 123830. Its totient is φ = 123828.

The previous prime is 123821. The next prime is 123833. The reversal of 123829 is 928321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106929 + 16900 = 327^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 123829 - 2³ = 123821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123821) 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, 61914 + 61915.

It is an arithmetic number, because the mean of its divisors is an integer number (61915).

2¹²³⁸²⁹ is an apocalyptic number.

It is an amenable number.

123829 is a deficient number, since it is larger than the sum of its proper divisors (1).

123829 is an equidigital number, since it uses as much as digits as its factorization.

123829 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 123829 is about 351.8934497827. The cubic root of 123829 is about 49.8433765609.

The spelling of 123829 in words is "one hundred twenty-three thousand, eight hundred twenty-nine".