163305 has 24 divisors (see below), whose sum is σ = 299520. Its totient is φ = 82080.

The previous prime is 163259. The next prime is 163307. The reversal of 163305 is 503361.

It is not a de Polignac number, because 163305 - 2¹² = 159209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (163307) 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, 760 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2¹⁶³³⁰⁵ is an apocalyptic number.

163305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163305 is a deficient number, since it is larger than the sum of its proper divisors (136215).

163305 is a wasteful number, since it uses less digits than its factorization.

163305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 163305 is about 404.1101335032. The cubic root of 163305 is about 54.6596056383.

Adding to 163305 its reverse (503361), we get a palindrome (666666).

It can be divided in two parts, 16 and 3305, that added together give a triangular number (3321 = T₈₁).

The spelling of 163305 in words is "one hundred sixty-three thousand, three hundred five".