38829 has 12 divisors (see below), whose sum is σ = 60576. Its totient is φ = 21672.

The previous prime is 38821. The next prime is 38833. The reversal of 38829 is 92883.

It is not a de Polignac number, because 38829 - 2³ = 38821 is a prime.

Its product of digits (3456) is a multiple of the sum of its prime factors (96).

It is a Curzon number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 38796 and 38805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (5048).

2³⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

38829 is a deficient number, since it is larger than the sum of its proper divisors (21747).

38829 is an equidigital number, since it uses as much as digits as its factorization.

38829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 38829 is about 197.0507548831. The cubic root of 38829 is about 33.8624779541.

The spelling of 38829 in words is "thirty-eight thousand, eight hundred twenty-nine".