35838 has 24 divisors (see below), whose sum is σ = 85176. Its totient is φ = 10800.

The previous prime is 35837. The next prime is 35839. The reversal of 35838 is 83853.

It is an interprime number because it is at equal distance from previous prime (35837) and next prime (35839).

It is a nialpdrome in base 15.

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 35838.

It is not an unprimeable number, because it can be changed into a prime (35831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2³⁵⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42588).

35838 is an abundant number, since it is smaller than the sum of its proper divisors (49338).

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

35838 is a wasteful number, since it uses less digits than its factorization.

35838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 35838 is about 189.3092707714. The cubic root of 35838 is about 32.9696691006.

The spelling of 35838 in words is "thirty-five thousand, eight hundred thirty-eight".