163935 has 12 divisors (see below), whose sum is σ = 284232. Its totient is φ = 87408.

The previous prime is 163927. The next prime is 163973. The reversal of 163935 is 539361.

It is not a de Polignac number, because 163935 - 2³ = 163927 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 163899 and 163908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1777 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (23686).

2¹⁶³⁹³⁵ is an apocalyptic number.

163935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

163935 is a deficient number, since it is larger than the sum of its proper divisors (120297).

163935 is a wasteful number, since it uses less digits than its factorization.

163935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3651 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 163935 is about 404.8888736431. Note that the first 4 decimals coincide. The cubic root of 163935 is about 54.7298042733.

It can be divided in two parts, 1 and 63935, that added together give a palindrome (63936).

The spelling of 163935 in words is "one hundred sixty-three thousand, nine hundred thirty-five".