133307 has 4 divisors (see below), whose sum is σ = 134640. Its totient is φ = 131976.

The previous prime is 133303. The next prime is 133319. The reversal of 133307 is 703331.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 133307 - 2² = 133303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2¹³³³⁰⁷ is an apocalyptic number.

133307 is a deficient number, since it is larger than the sum of its proper divisors (1333).

133307 is a wasteful number, since it uses less digits than its factorization.

133307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 133307 is about 365.1123114878. The cubic root of 133307 is about 51.0839320245.

Adding to 133307 its reverse (703331), we get a palindrome (836638).

The spelling of 133307 in words is "one hundred thirty-three thousand, three hundred seven".