133287 has 16 divisors (see below), whose sum is σ = 221952. Its totient is φ = 69120.

The previous prime is 133283. The next prime is 133303. The reversal of 133287 is 782331.

It is not a de Polignac number, because 133287 - 2² = 133283 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133283) 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 15 ways as a sum of consecutive naturals, for example, 58 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (13872).

133287 is a Friedman number, since it can be written as 7*(138^2-3), using all its digits and the basic arithmetic operations.

2¹³³²⁸⁷ is an apocalyptic number.

133287 is a deficient number, since it is larger than the sum of its proper divisors (88665).

133287 is a wasteful number, since it uses less digits than its factorization.

133287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its digits is 1008, while the sum is 24.

The square root of 133287 is about 365.0849216278. The cubic root of 133287 is about 51.0813771956.

The spelling of 133287 in words is "one hundred thirty-three thousand, two hundred eighty-seven".