416731397 has 2 divisors, whose sum is σ = 416731398. Its totient is φ = 416731396.

The previous prime is 416731391. The next prime is 416731409. The reversal of 416731397 is 793137614.

It is a Cunningham number, because it is equal to 20414²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 416731396 + 1 = 20414^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 416731397 - 2¹² = 416727301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416731391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208365698 + 208365699.

It is an arithmetic number, because the mean of its divisors is an integer number (208365699).

Almost surely, 2^416731397 is an apocalyptic number.

It is an amenable number.

416731397 is a deficient number, since it is larger than the sum of its proper divisors (1).

416731397 is an equidigital number, since it uses as much as digits as its factorization.

416731397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 41.

The square root of 416731397 is about 20414.0000244930. Note that the first 4 decimals coincide. The cubic root of 416731397 is about 746.9394667999.

The spelling of 416731397 in words is "four hundred sixteen million, seven hundred thirty-one thousand, three hundred ninety-seven".