32838 has 16 divisors (see below), whose sum is σ = 70896. Its totient is φ = 10080.

The previous prime is 32833. The next prime is 32839. The reversal of 32838 is 83823.

It is a d-powerful number, because it can be written as 3³ + 2¹⁵ + 8 + 3³ + 8 .

It is a Curzon number.

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 32838.

It is not an unprimeable number, because it can be changed into a prime (32831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (4431).

2³²⁸³⁸ is an apocalyptic number.

32838 is an abundant number, since it is smaller than the sum of its proper divisors (38058).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448).

32838 is a wasteful number, since it uses less digits than its factorization.

32838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439.

The product of its digits is 1152, while the sum is 24.

The square root of 32838 is about 181.2125823446. The cubic root of 32838 is about 32.0227702519.

The spelling of 32838 in words is "thirty-two thousand, eight hundred thirty-eight".