416166165 has 24 divisors (see below), whose sum is σ = 744626688. Its totient is φ = 214794720.

The previous prime is 416166143. The next prime is 416166167. The reversal of 416166165 is 561661614.

It is a happy number.

It is not a de Polignac number, because 416166165 - 2¹¹ = 416164117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416166167) 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 in 23 ways as a sum of consecutive naturals, for example, 147769 + ... + 150558.

It is an arithmetic number, because the mean of its divisors is an integer number (31026112).

Almost surely, 2^416166165 is an apocalyptic number.

416166165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416166165 is a deficient number, since it is larger than the sum of its proper divisors (328460523).

416166165 is a wasteful number, since it uses less digits than its factorization.

416166165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298369 (or 298366 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 416166165 is about 20400.1511023816. The cubic root of 416166165 is about 746.6016111962.

The spelling of 416166165 in words is "four hundred sixteen million, one hundred sixty-six thousand, one hundred sixty-five".