129933 has 6 divisors (see below), whose sum is σ = 187694. Its totient is φ = 86616.

The previous prime is 129919. The next prime is 129937. The reversal of 129933 is 339921.

It can be written as a sum of positive squares in only one way, i.e., 110889 + 19044 = 333^2 + 138^2 .

It is not a de Polignac number, because 129933 - 2⁴ = 129917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129897 and 129906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7210 + ... + 7227.

2¹²⁹⁹³³ is an apocalyptic number.

It is an amenable number.

129933 is a deficient number, since it is larger than the sum of its proper divisors (57761).

129933 is a wasteful number, since it uses less digits than its factorization.

129933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14443 (or 14440 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 129933 is about 360.4622032891. The cubic root of 129933 is about 50.6492659160.

It can be divided in two parts, 12993 and 3, that added together give a square (12996 = 114²).

The spelling of 129933 in words is "one hundred twenty-nine thousand, nine hundred thirty-three".