29007 has 12 divisors (see below), whose sum is σ = 45864. Its totient is φ = 17520.

The previous prime is 28979. The next prime is 29009. The reversal of 29007 is 70092.

29007 = 2⁵ + 3⁵ + ... + 7⁵.

It is not a de Polignac number, because 29007 - 2⁷ = 28879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2²⁹⁰⁰⁷ is an apocalyptic number.

29007 is a deficient number, since it is larger than the sum of its proper divisors (16857).

29007 is a wasteful number, since it uses less digits than its factorization.

29007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 29007 is about 170.3144151268. The cubic root of 29007 is about 30.7256400370.

Adding to 29007 its reverse (70092), we get a palindrome (99099).

It can be divided in two parts, 2 and 9007, that added together give a palindrome (9009).

The spelling of 29007 in words is "twenty-nine thousand, seven".