133827 has 8 divisors (see below), whose sum is σ = 184320. Its totient is φ = 86280.

The previous prime is 133813. The next prime is 133831. The reversal of 133827 is 728331.

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

It is not a de Polignac number, because 133827 - 2⁴ = 133811 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 133797 and 133806.

It is not an unprimeable number, because it can be changed into a prime (133877) 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, 627 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2¹³³⁸²⁷ is an apocalyptic number.

133827 is a deficient number, since it is larger than the sum of its proper divisors (50493).

133827 is a wasteful number, since it uses less digits than its factorization.

133827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

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

The square root of 133827 is about 365.8237280440. The cubic root of 133827 is about 51.1502680753.

The spelling of 133827 in words is "one hundred thirty-three thousand, eight hundred twenty-seven".