132933 has 8 divisors (see below), whose sum is σ = 179968. Its totient is φ = 87264.

The previous prime is 132929. The next prime is 132947. The reversal of 132933 is 339231.

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

It is not a de Polignac number, because 132933 - 2² = 132929 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 9² + 2¹³ + 3¹⁰ + 3¹⁰ .

It is a Duffinian number.

132933 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (22496).

2¹³²⁹³³ is an apocalyptic number.

It is an amenable number.

132933 is a deficient number, since it is larger than the sum of its proper divisors (47035).

132933 is an equidigital number, since it uses as much as digits as its factorization.

132933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 486, while the sum is 21.

The square root of 132933 is about 364.5997805814. The cubic root of 132933 is about 51.0361143667.

The spelling of 132933 in words is "one hundred thirty-two thousand, nine hundred thirty-three".