133007 has 4 divisors (see below), whose sum is σ = 152016. Its totient is φ = 114000.

The previous prime is 132989. The next prime is 133013. The reversal of 133007 is 700331.

It is a happy number.

133007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 133007 - 2⁸ = 132751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132982 and 133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133087) 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, 9494 + ... + 9507.

It is an arithmetic number, because the mean of its divisors is an integer number (38004).

2¹³³⁰⁰⁷ is an apocalyptic number.

133007 is a deficient number, since it is larger than the sum of its proper divisors (19009).

133007 is an equidigital number, since it uses as much as digits as its factorization.

133007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19008.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 133007 is about 364.7012475986. The cubic root of 133007 is about 51.0455827251.

Adding to 133007 its reverse (700331), we get a palindrome (833338).

The spelling of 133007 in words is "one hundred thirty-three thousand, seven".