29826 has 12 divisors (see below), whose sum is σ = 64662. Its totient is φ = 9936.

The previous prime is 29819. The next prime is 29833. The reversal of 29826 is 62892.

It is an interprime number because it is at equal distance from previous prime (29819) and next prime (29833).

It can be written as a sum of positive squares in only one way, i.e., 27225 + 2601 = 165^2 + 51^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29826.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29826.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 811 + ... + 846.

2²⁹⁸²⁶ is an apocalyptic number.

29826 is an abundant number, since it is smaller than the sum of its proper divisors (34836).

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

29826 is a wasteful number, since it uses less digits than its factorization.

29826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1662 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 29826 is about 172.7020555755. The cubic root of 29826 is about 31.0121353806.

It can be divided in two parts, 298 and 26, that added together give a square (324 = 18²).

The spelling of 29826 in words is "twenty-nine thousand, eight hundred twenty-six".