159963 has 8 divisors (see below), whose sum is σ = 216576. Its totient is φ = 105000.

The previous prime is 159937. The next prime is 159977. The reversal of 159963 is 369951.

159963 is nontrivially palindromic in base 6.

159963 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 159963 - 2⁵ = 159931 is a prime.

It is a super-2 number, since 2×159963² = 51176322738, which contains 22 as substring.

159963 is an undulating number in base 6.

159963 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159963.

It is not an unprimeable number, because it can be changed into a prime (159463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (27072).

2¹⁵⁹⁹⁶³ is an apocalyptic number.

159963 is a deficient number, since it is larger than the sum of its proper divisors (56613).

159963 is an equidigital number, since it uses as much as digits as its factorization.

159963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825.

The product of its digits is 7290, while the sum is 33.

The square root of 159963 is about 399.9537473259. The cubic root of 159963 is about 54.2841672821.

The spelling of 159963 in words is "one hundred fifty-nine thousand, nine hundred sixty-three".