171963 has 20 divisors (see below), whose sum is σ = 281688. Its totient is φ = 103680.

The previous prime is 171947. The next prime is 172001. The reversal of 171963 is 369171.

171963 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 171963 - 2⁴ = 171947 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 Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (171923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 795 + ... + 987.

2¹⁷¹⁹⁶³ is an apocalyptic number.

171963 is a deficient number, since it is larger than the sum of its proper divisors (109725).

171963 is a wasteful number, since it uses less digits than its factorization.

171963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 171963 is about 414.6842172063. The cubic root of 171963 is about 55.6089896270.

The spelling of 171963 in words is "one hundred seventy-one thousand, nine hundred sixty-three".