133607 has 8 divisors (see below), whose sum is σ = 144096. Its totient is φ = 123552.

The previous prime is 133597. The next prime is 133631. The reversal of 133607 is 706331.

133607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 133607 - 2⁶ = 133543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (18012).

2¹³³⁶⁰⁷ is an apocalyptic number.

133607 is a deficient number, since it is larger than the sum of its proper divisors (10489).

133607 is a wasteful number, since it uses less digits than its factorization.

133607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 133607 is about 365.5229130985. The cubic root of 133607 is about 51.1222238317.

Adding to 133607 its reverse (706331), we get a palindrome (839938).

The spelling of 133607 in words is "one hundred thirty-three thousand, six hundred seven".