29142 has 12 divisors (see below), whose sum is σ = 63180. Its totient is φ = 9708.

The previous prime is 29137. The next prime is 29147. The reversal of 29142 is 24192.

It is an interprime number because it is at equal distance from previous prime (29137) and next prime (29147).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1619 = 29142 / (2 + 9 + 1 + 4 + 2).

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 29142.

It is not an unprimeable number, because it can be changed into a prime (29147) by changing a digit.

29142 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 5 ways as a sum of consecutive naturals, for example, 792 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2²⁹¹⁴² is an apocalyptic number.

29142 is an abundant number, since it is smaller than the sum of its proper divisors (34038).

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

29142 is a wasteful number, since it uses less digits than its factorization.

29142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1624 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 29142 is about 170.7102808855. The cubic root of 29142 is about 30.7732324923.

Subtracting from 29142 its reverse (24192), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 2914 and 2, that added together give a square (2916 = 54²).

The spelling of 29142 in words is "twenty-nine thousand, one hundred forty-two".