133009 has 4 divisors (see below), whose sum is σ = 138816. Its totient is φ = 127204.

The previous prime is 132989. The next prime is 133013. The reversal of 133009 is 900331.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133009 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 132983 and 133001.

It is not an unprimeable number, because it can be changed into a prime (133039) 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 3 ways as a sum of consecutive naturals, for example, 2869 + ... + 2914.

It is an arithmetic number, because the mean of its divisors is an integer number (34704).

2¹³³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

133009 is a deficient number, since it is larger than the sum of its proper divisors (5807).

133009 is an equidigital number, since it uses as much as digits as its factorization.

133009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 133009 is about 364.7039895587. The cubic root of 133009 is about 51.0458385780.

The spelling of 133009 in words is "one hundred thirty-three thousand, nine".