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29958 = 234993

29958 has 8 divisors (see below), whose sum is σ = 59928. Its totient is φ = 9984.

The previous prime is 29947. The next prime is 29959. The reversal of 29958 is 85992.

It is a sphenic number, since it is the product of 3 distinct primes.

29958 is an admirable number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2491 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (7491).

229958 is an apocalyptic number.

29958 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29964).

29958 is a wasteful number, since it uses less digits than its factorization.

29958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998.

The product of its digits is 6480, while the sum is 33.

The square root of 29958 is about 173.0837947354. The cubic root of 29958 is about 31.0578178690.

It can be divided in two parts, 2995 and 8, that added together give a palindrome (3003).

The spelling of 29958 in words is "twenty-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 4993 9986 14979 29958