123201829 has 2 divisors, whose sum is σ = 123201830. Its totient is φ = 123201828.

The previous prime is 123201821. The next prime is 123201857. The reversal of 123201829 is 928102321.

It is an a-pointer prime, because the next prime (123201857) can be obtained adding 123201829 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119399329 + 3802500 = 10927^2 + 1950^2 .

It is a cyclic number.

It is not a de Polignac number, because 123201829 - 2³ = 123201821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123201797 and 123201806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123201821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600914 + 61600915.

It is an arithmetic number, because the mean of its divisors is an integer number (61600915).

Almost surely, 2^123201829 is an apocalyptic number.

It is an amenable number.

123201829 is a deficient number, since it is larger than the sum of its proper divisors (1).

123201829 is an equidigital number, since it uses as much as digits as its factorization.

123201829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 123201829 is about 11099.6319308345. The cubic root of 123201829 is about 497.5908492961.

The spelling of 123201829 in words is "one hundred twenty-three million, two hundred one thousand, eight hundred twenty-nine".