133293 has 8 divisors (see below), whose sum is σ = 179488. Its totient is φ = 87984.

The previous prime is 133283. The next prime is 133303. The reversal of 133293 is 392331.

It is an interprime number because it is at equal distance from previous prime (133283) and next prime (133303).

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

It is not a de Polignac number, because 133293 - 2⁴ = 133277 is a prime.

It is a Duffinian number.

It is a Curzon number.

133293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213) 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, 330 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (22436).

2¹³³²⁹³ is an apocalyptic number.

It is an amenable number.

133293 is a deficient number, since it is larger than the sum of its proper divisors (46195).

133293 is a wasteful number, since it uses less digits than its factorization.

133293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

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

The square root of 133293 is about 365.0931388016. The cubic root of 133293 is about 51.0821436711.

The spelling of 133293 in words is "one hundred thirty-three thousand, two hundred ninety-three".