163933 has 8 divisors (see below), whose sum is σ = 204480. Its totient is φ = 127680.

The previous prime is 163927. The next prime is 163973. The reversal of 163933 is 339361.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 163933 - 2⁵ = 163901 is a prime.

It is a Duffinian number.

163933 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 163898 and 163907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988 + ... + 1141.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

2¹⁶³⁹³³ is an apocalyptic number.

It is an amenable number.

163933 is a deficient number, since it is larger than the sum of its proper divisors (40547).

163933 is a wasteful number, since it uses less digits than its factorization.

163933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147.

The product of its digits is 1458, while the sum is 25.

The square root of 163933 is about 404.8864038221. The cubic root of 163933 is about 54.7295817053.

The spelling of 163933 in words is "one hundred sixty-three thousand, nine hundred thirty-three".