132033 has 8 divisors (see below), whose sum is σ = 192096. Its totient is φ = 80000.

The previous prime is 132019. The next prime is 132047. The reversal of 132033 is 330231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132019) and next prime (132047).

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

It is a cyclic number.

It is not a de Polignac number, because 132033 - 2⁵ = 132001 is a prime.

132033 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (132233) 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, 1968 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (24012).

2¹³²⁰³³ is an apocalyptic number.

It is an amenable number.

132033 is a deficient number, since it is larger than the sum of its proper divisors (60063).

132033 is a wasteful number, since it uses less digits than its factorization.

132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 132033 is about 363.3634544089. The cubic root of 132033 is about 50.9206763792.

Adding to 132033 its reverse (330231), we get a palindrome (462264).

The spelling of 132033 in words is "one hundred thirty-two thousand, thirty-three".