163808361 has 24 divisors (see below), whose sum is σ = 245290760. Its totient is φ = 105255936.

The previous prime is 163808347. The next prime is 163808377.

163808361 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 18147600 + 145660761 = 4260^2 + 12069^2 .

It is not a de Polignac number, because 163808361 - 2⁹ = 163807849 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (163808321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34041 + ... + 38553.

Almost surely, 2^163808361 is an apocalyptic number.

It is an amenable number.

163808361 is a deficient number, since it is larger than the sum of its proper divisors (81482399).

163808361 is a wasteful number, since it uses less digits than its factorization.

163808361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 163808361 is about 12798.7640418909. The cubic root of 163808361 is about 547.1570780590.

The spelling of 163808361 in words is "one hundred sixty-three million, eight hundred eight thousand, three hundred sixty-one".