29292 has 12 divisors (see below), whose sum is σ = 68376. Its totient is φ = 9760.

The previous prime is 29287. The next prime is 29297.

29292 is nontrivially palindromic in base 10.

29292 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29287) and next prime (29297).

It is a tau number, because it is divible by the number of its divisors (12).

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

29292 is an undulating number in base 10.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29292.

It is not an unprimeable number, because it can be changed into a prime (29297) 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, 1209 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (5698).

2²⁹²⁹² is an apocalyptic number.

It is an amenable number.

29292 is an abundant number, since it is smaller than the sum of its proper divisors (39084).

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 (34188).

29292 is a wasteful number, since it uses less digits than its factorization.

29292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 29292 is about 171.1490578414. The cubic root of 29292 is about 30.8259409272.

The spelling of 29292 in words is "twenty-nine thousand, two hundred ninety-two".