416129297 has 2 divisors, whose sum is σ = 416129298. Its totient is φ = 416129296.

The previous prime is 416129291. The next prime is 416129299. The reversal of 416129297 is 792921614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411116176 + 5013121 = 20276^2 + 2239^2 .

It is a cyclic number.

It is not a de Polignac number, because 416129297 - 2²⁶ = 349020433 is a prime.

Together with 416129299, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416129291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208064648 + 208064649.

It is an arithmetic number, because the mean of its divisors is an integer number (208064649).

Almost surely, 2^416129297 is an apocalyptic number.

It is an amenable number.

416129297 is a deficient number, since it is larger than the sum of its proper divisors (1).

416129297 is an equidigital number, since it uses as much as digits as its factorization.

416129297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 41.

The square root of 416129297 is about 20399.2474616100. The cubic root of 416129297 is about 746.5795634956.

The spelling of 416129297 in words is "four hundred sixteen million, one hundred twenty-nine thousand, two hundred ninety-seven".