163845 has 24 divisors (see below), whose sum is σ = 310752. Its totient is φ = 79200.

The previous prime is 163841. The next prime is 163847. The reversal of 163845 is 548361.

163845 = T₁₇₆ + T₁₇₇ + ... + T₁₈₅.

163845 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 163845 - 2² = 163841 is a prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163841) 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, 330 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (12948).

163845 is a Friedman number, since it can be written as 5*(8*4^6+1^3), using all its digits and the basic arithmetic operations.

2¹⁶³⁸⁴⁵ is an apocalyptic number.

163845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163845 is a deficient number, since it is larger than the sum of its proper divisors (146907).

163845 is a wasteful number, since it uses less digits than its factorization.

163845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 163845 is about 404.7777167780. Note that the first 4 decimals coincide. The cubic root of 163845 is about 54.7197869208.

The spelling of 163845 in words is "one hundred sixty-three thousand, eight hundred forty-five".