129963 has 4 divisors (see below), whose sum is σ = 173288. Its totient is φ = 86640.

The previous prime is 129959. The next prime is 129967. The reversal of 129963 is 369921.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 369921 = 3 ⋅123307.

It is an interprime number because it is at equal distance from previous prime (129959) and next prime (129967).

It is not a de Polignac number, because 129963 - 2² = 129959 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129963.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 129963.

It is not an unprimeable number, because it can be changed into a prime (129967) 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 3 ways as a sum of consecutive naturals, for example, 21658 + ... + 21663.

It is an arithmetic number, because the mean of its divisors is an integer number (43322).

2¹²⁹⁹⁶³ is an apocalyptic number.

129963 is a deficient number, since it is larger than the sum of its proper divisors (43325).

129963 is an equidigital number, since it uses as much as digits as its factorization.

129963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43324.

The product of its digits is 2916, while the sum is 30.

The square root of 129963 is about 360.5038141268. The cubic root of 129963 is about 50.6531637224.

The spelling of 129963 in words is "one hundred twenty-nine thousand, nine hundred sixty-three".