29133 has 16 divisors (see below), whose sum is σ = 47040. Its totient is φ = 17712.

The previous prime is 29131. The next prime is 29137. The reversal of 29133 is 33192.

It is not a de Polignac number, because 29133 - 2¹ = 29131 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2²⁹¹³³ is an apocalyptic number.

It is an amenable number.

29133 is a deficient number, since it is larger than the sum of its proper divisors (17907).

29133 is a wasteful number, since it uses less digits than its factorization.

29133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 29133 is about 170.6839183989. The cubic root of 29133 is about 30.7700642402.

It can be divided in two parts, 2913 and 3, that added together give a square (2916 = 54²).

The spelling of 29133 in words is "twenty-nine thousand, one hundred thirty-three".