416161 has 4 divisors (see below), whose sum is σ = 417924. Its totient is φ = 414400.

The previous prime is 416159. The next prime is 416167. The reversal of 416161 is 161614.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 230400 + 185761 = 480^2 + 431^2 .

It is a cyclic number.

It is not a de Polignac number, because 416161 - 2¹ = 416159 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (104481).

2⁴¹⁶¹⁶¹ is an apocalyptic number.

416161 is the 289-th centered decagonal number.

It is an amenable number.

416161 is a deficient number, since it is larger than the sum of its proper divisors (1763).

416161 is a wasteful number, since it uses less digits than its factorization.

416161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762.

The product of its digits is 144, while the sum is 19.

The square root of 416161 is about 645.1054177419. The cubic root of 416161 is about 74.6598522515.

Adding to 416161 its reverse (161614), we get a palindrome (577775).

The spelling of 416161 in words is "four hundred sixteen thousand, one hundred sixty-one".