29812 has 12 divisors (see below), whose sum is σ = 54180. Its totient is φ = 14336.

The previous prime is 29803. The next prime is 29819. The reversal of 29812 is 21892.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 5476 = 156^2 + 74^2 .

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

29812 is an undulating number in base 16.

Its product of digits (288) is a multiple of the sum of its prime divisors (288).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29819) by changing a digit.

29812 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 244.

It is an arithmetic number, because the mean of its divisors is an integer number (4515).

2²⁹⁸¹² is an apocalyptic number.

It is an amenable number.

29812 is a deficient number, since it is larger than the sum of its proper divisors (24368).

29812 is a wasteful number, since it uses less digits than its factorization.

29812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 29812 is about 172.6615185848. The cubic root of 29812 is about 31.0072823682.

It can be divided in two parts, 29 and 812, that added together give a square (841 = 29²).

The spelling of 29812 in words is "twenty-nine thousand, eight hundred twelve".