29742 has 8 divisors (see below), whose sum is σ = 59496. Its totient is φ = 9912.

The previous prime is 29741. The next prime is 29753. The reversal of 29742 is 24792.

29742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

29742 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29742.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2473 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (7437).

2²⁹⁷⁴² is an apocalyptic number.

29742 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 (29748).

29742 is a wasteful number, since it uses less digits than its factorization.

29742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962.

The product of its digits is 1008, while the sum is 24.

The square root of 29742 is about 172.4586907059. The cubic root of 29742 is about 30.9829944885.

Subtracting from 29742 its reverse (24792), we obtain a triangular number (4950 = T₉₉).

The spelling of 29742 in words is "twenty-nine thousand, seven hundred forty-two".