35538 has 8 divisors (see below), whose sum is σ = 71088. Its totient is φ = 11844.

The previous prime is 35537. The next prime is 35543. The reversal of 35538 is 83553.

It is a sphenic number, since it is the product of 3 distinct primes.

35538 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (35531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2956 + ... + 2967.

It is an arithmetic number, because the mean of its divisors is an integer number (8886).

2³⁵⁵³⁸ is an apocalyptic number.

35538 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (35544).

35538 is a wasteful number, since it uses less digits than its factorization.

35538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928.

The product of its digits is 1800, while the sum is 24.

The square root of 35538 is about 188.5152513724. The cubic root of 35538 is about 32.8774148014.

It can be divided in two parts, 355 and 38, that added together give a palindrome (393).

The spelling of 35538 in words is "thirty-five thousand, five hundred thirty-eight".