416000197 has 2 divisors, whose sum is σ = 416000198. Its totient is φ = 416000196.

The previous prime is 416000177. The next prime is 416000201. The reversal of 416000197 is 791000614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218625796 + 197374401 = 14786^2 + 14049^2 .

It is a cyclic number.

It is not a de Polignac number, because 416000197 - 2⁷ = 416000069 is a prime.

It is a super-3 number, since 3×416000197³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208000098 + 208000099.

It is an arithmetic number, because the mean of its divisors is an integer number (208000099).

Almost surely, 2^416000197 is an apocalyptic number.

It is an amenable number.

416000197 is a deficient number, since it is larger than the sum of its proper divisors (1).

416000197 is an equidigital number, since it uses as much as digits as its factorization.

416000197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 416000197 is about 20396.0828837304. The cubic root of 416000197 is about 746.5023492007.

The spelling of 416000197 in words is "four hundred sixteen million, one hundred ninety-seven", and thus it is an aban number.