29946 has 32 divisors (see below), whose sum is σ = 73728. Its totient is φ = 7920.

The previous prime is 29927. The next prime is 29947. The reversal of 29946 is 64992.

29946 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (29947) by changing a digit.

29946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (2304).

2²⁹⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864).

29946 is an abundant number, since it is smaller than the sum of its proper divisors (43782).

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

29946 is a wasteful number, since it uses less digits than its factorization.

29946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its digits is 3888, while the sum is 30.

The square root of 29946 is about 173.0491259729. The cubic root of 29946 is about 31.0536704673.

The spelling of 29946 in words is "twenty-nine thousand, nine hundred forty-six".