362224161 has 24 divisors (see below), whose sum is σ = 572708136. Its totient is φ = 219248640.

The previous prime is 362224157. The next prime is 362224183. The reversal of 362224161 is 161422263.

362224161 is a `hidden beast` number, since 3 + 622 + 24 + 16 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 354606561 = 2760^2 + 18831^2 .

It is not a de Polignac number, because 362224161 - 2² = 362224157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (362224061) 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, 18240 + ... + 32513.

It is an arithmetic number, because the mean of its divisors is an integer number (23862839).

Almost surely, 2^362224161 is an apocalyptic number.

It is an amenable number.

362224161 is a deficient number, since it is larger than the sum of its proper divisors (210483975).

362224161 is a wasteful number, since it uses less digits than its factorization.

362224161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50833 (or 50830 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 362224161 is about 19032.1874990764. The cubic root of 362224161 is about 712.8406732810.

The spelling of 362224161 in words is "three hundred sixty-two million, two hundred twenty-four thousand, one hundred sixty-one".