29322 has 20 divisors (see below), whose sum is σ = 66066. Its totient is φ = 9720.

The previous prime is 29311. The next prime is 29327. The reversal of 29322 is 22392.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 81 = 171^2 + 9^2 .

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 a nialpdrome in base 9 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29295 and 29304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29322.

It is not an unprimeable number, because it can be changed into a prime (29327) by changing a digit.

29322 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 9 ways as a sum of consecutive naturals, for example, 72 + ... + 252.

2²⁹³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033).

29322 is an abundant number, since it is smaller than the sum of its proper divisors (36744).

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

29322 is a wasteful number, since it uses less digits than its factorization.

29322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 29322 is about 171.2366783140. The cubic root of 29322 is about 30.8364610089.

It can be divided in two parts, 293 and 22, that multiplied together give a palindrome (6446).

The spelling of 29322 in words is "twenty-nine thousand, three hundred twenty-two".