29748 has 24 divisors (see below), whose sum is σ = 72352. Its totient is φ = 9504.

The previous prime is 29741. The next prime is 29753. The reversal of 29748 is 84792.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29741) by changing a digit.

29748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 411 + ... + 477.

2²⁹⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

29748 is an abundant number, since it is smaller than the sum of its proper divisors (42604).

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 (36176).

29748 is a wasteful number, since it uses less digits than its factorization.

29748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 29748 is about 172.4760852988. The cubic root of 29748 is about 30.9850777991.

It can be divided in two parts, 29 and 748, that added together give a palindrome (777).

The spelling of 29748 in words is "twenty-nine thousand, seven hundred forty-eight".