416154161 has 2 divisors, whose sum is σ = 416154162. Its totient is φ = 416154160.

The previous prime is 416154149. The next prime is 416154163. The reversal of 416154161 is 161451614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271096225 + 145057936 = 16465^2 + 12044^2 .

It is a cyclic number.

It is not a de Polignac number, because 416154161 - 2¹⁸ = 415892017 is a prime.

It is a super-2 number, since 2×416154161² = 346368571435227842, which contains 22 as substring.

Together with 416154163, 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 (416154163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208077080 + 208077081.

It is an arithmetic number, because the mean of its divisors is an integer number (208077081).

Almost surely, 2^416154161 is an apocalyptic number.

It is an amenable number.

416154161 is a deficient number, since it is larger than the sum of its proper divisors (1).

416154161 is an equidigital number, since it uses as much as digits as its factorization.

416154161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 29.

The square root of 416154161 is about 20399.8568867529. The cubic root of 416154161 is about 746.5944327399.

The spelling of 416154161 in words is "four hundred sixteen million, one hundred fifty-four thousand, one hundred sixty-one".