29852 has 12 divisors (see below), whose sum is σ = 55440. Its totient is φ = 14016.

The previous prime is 29851. The next prime is 29863. The reversal of 29852 is 25892.

It is a super-2 number, since 2×29852² = 1782283808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 3.

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 29852.

It is not an unprimeable number, because it can be changed into a prime (29851) 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, 152 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2²⁹⁸⁵² is an apocalyptic number.

It is an amenable number.

29852 is a deficient number, since it is larger than the sum of its proper divisors (25588).

29852 is a wasteful number, since it uses less digits than its factorization.

29852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 29852 is about 172.7773133256. Note that the first 3 decimals coincide. The cubic root of 29852 is about 31.0211440905.

The spelling of 29852 in words is "twenty-nine thousand, eight hundred fifty-two".