413723129 has 2 divisors, whose sum is σ = 413723130. Its totient is φ = 413723128.

The previous prime is 413723083. The next prime is 413723131. The reversal of 413723129 is 921327314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359671225 + 54051904 = 18965^2 + 7352^2 .

It is a cyclic number.

It is not a de Polignac number, because 413723129 - 2¹⁶ = 413657593 is a prime.

It is a Sophie Germain prime.

Together with 413723131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_22028468 and since 413723129 and 22028468 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 413723095 and 413723104.

It is not a weakly prime, because it can be changed into another prime (413723029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206861564 + 206861565.

It is an arithmetic number, because the mean of its divisors is an integer number (206861565).

Almost surely, 2^413723129 is an apocalyptic number.

It is an amenable number.

413723129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413723129 is an equidigital number, since it uses as much as digits as its factorization.

413723129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 413723129 is about 20340.1850778207. The cubic root of 413723129 is about 745.1378085384.

The spelling of 413723129 in words is "four hundred thirteen million, seven hundred twenty-three thousand, one hundred twenty-nine".