414002129 has 2 divisors, whose sum is σ = 414002130. Its totient is φ = 414002128.

The previous prime is 414002041. The next prime is 414002143. The reversal of 414002129 is 921200414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360126529 + 53875600 = 18977^2 + 7340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414002129 is a prime.

It is not a weakly prime, because it can be changed into another prime (414002159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207001064 + 207001065.

It is an arithmetic number, because the mean of its divisors is an integer number (207001065).

Almost surely, 2^414002129 is an apocalyptic number.

It is an amenable number.

414002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414002129 is an equidigital number, since it uses as much as digits as its factorization.

414002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 414002129 is about 20347.0422666293. The cubic root of 414002129 is about 745.3052689482.

The spelling of 414002129 in words is "four hundred fourteen million, two thousand, one hundred twenty-nine".