29412 has 36 divisors (see below), whose sum is σ = 80080. Its totient is φ = 9072.

The previous prime is 29411. The next prime is 29423. The reversal of 29412 is 21492.

29412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

29412 is an undulating number in base 7.

Its product of digits (144) is a multiple of the sum of its prime factors (72).

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (29411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 705.

2²⁹⁴¹² is an apocalyptic number.

It is a pronic number, being equal to 171×172.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40040).

29412 is an abundant number, since it is smaller than the sum of its proper divisors (50668).

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

29412 is a wasteful number, since it uses less digits than its factorization.

29412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

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

The square root of 29412 is about 171.4992711355. The cubic root of 29412 is about 30.8679782641.

It can be divided in two parts, 29 and 412, that added together give a square (441 = 21²).

The spelling of 29412 in words is "twenty-nine thousand, four hundred twelve".