29282 has 10 divisors (see below), whose sum is σ = 48315. Its totient is φ = 13310.

The previous prime is 29269. The next prime is 29287. The reversal of 29282 is 28292.

It can be written as a sum of positive squares in only one way, i.e., 14641 + 14641 = 121^2 + 121^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=121.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (29287) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 2657 + ... + 2667.

29282 is a Friedman number, since it can be written as 2*(9+2)^(8/2), using all its digits and the basic arithmetic operations.

2²⁹²⁸² is an apocalyptic number.

29282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

29282 is a deficient number, since it is larger than the sum of its proper divisors (19033).

29282 is an frugal number, since it uses more digits than its factorization.

29282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 13 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 29282 is about 171.1198410471. The cubic root of 29282 is about 30.8224326372.

Subtracting from 29282 its reverse (28292), we obtain a triangular number (990 = T₄₄).

The spelling of 29282 in words is "twenty-nine thousand, two hundred eighty-two".