29955 has 8 divisors (see below), whose sum is σ = 47952. Its totient is φ = 15968.

The previous prime is 29947. The next prime is 29959. The reversal of 29955 is 55992.

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 29955 - 2³ = 29947 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29955.

It is not an unprimeable number, because it can be changed into a prime (29959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 984 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (5994).

2²⁹⁹⁵⁵ is an apocalyptic number.

29955 is a deficient number, since it is larger than the sum of its proper divisors (17997).

29955 is a wasteful number, since it uses less digits than its factorization.

29955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005.

The product of its digits is 4050, while the sum is 30.

The square root of 29955 is about 173.0751281958. The cubic root of 29955 is about 31.0567811224.

The spelling of 29955 in words is "twenty-nine thousand, nine hundred fifty-five".