132993 has 12 divisors (see below), whose sum is σ = 219648. Its totient is φ = 75960.

The previous prime is 132989. The next prime is 133013. The reversal of 132993 is 399231.

132993 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 132993 - 2² = 132989 is a prime.

It is a Curzon number.

132993 is a lucky number.

It is a plaindrome in base 14.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (18304).

2¹³²⁹⁹³ is an apocalyptic number.

It is an amenable number.

132993 is a deficient number, since it is larger than the sum of its proper divisors (86655).

132993 is a wasteful number, since it uses less digits than its factorization.

132993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2121 counting only the distinct ones).

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

The square root of 132993 is about 364.6820533012. The cubic root of 132993 is about 51.0437916835.

The spelling of 132993 in words is "one hundred thirty-two thousand, nine hundred ninety-three".