163905 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 74592.

The previous prime is 163901. The next prime is 163909. The reversal of 163905 is 509361.

It is an interprime number because it is at equal distance from previous prime (163901) and next prime (163909).

It is not a de Polignac number, because 163905 - 2² = 163901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (163901) 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, 624 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹⁶³⁹⁰⁵ is an apocalyptic number.

163905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163905 is a deficient number, since it is larger than the sum of its proper divisors (142527).

163905 is a wasteful number, since it uses less digits than its factorization.

163905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 163905 is about 404.8518247458. The cubic root of 163905 is about 54.7264655633.

The spelling of 163905 in words is "one hundred sixty-three thousand, nine hundred five".