129007 has 8 divisors (see below), whose sum is σ = 138240. Its totient is φ = 120120.

The previous prime is 129001. The next prime is 129011. The reversal of 129007 is 700921.

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 129007 - 2⁷ = 128879 is a prime.

It is a Duffinian number.

129007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129001) 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, 1594 + ... + 1672.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹²⁹⁰⁰⁷ is an apocalyptic number.

129007 is a deficient number, since it is larger than the sum of its proper divisors (9233).

129007 is an equidigital number, since it uses as much as digits as its factorization.

129007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 129007 is about 359.1754445950. The cubic root of 129007 is about 50.5286573941.

Subtracting from 129007 its product of nonzero digits (126), we obtain a square (128881 = 359²).

Adding to 129007 its reverse (700921), we get a palindrome (829928).

The spelling of 129007 in words is "one hundred twenty-nine thousand, seven".