83538 has 64 divisors (see below), whose sum is σ = 241920. Its totient is φ = 20736.

The previous prime is 83537. The next prime is 83557.

83538 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2880) is a multiple of the sum of its prime factors (48).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83537) 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 31 ways as a sum of consecutive naturals, for example, 4906 + ... + 4922.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁸³⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

83538 is an abundant number, since it is smaller than the sum of its proper divisors (158382).

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

83538 is a wasteful number, since it uses less digits than its factorization.

83538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

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

The square root of 83538 is about 289.0294102682. The cubic root of 83538 is about 43.7147525627.

The spelling of 83538 in words is "eighty-three thousand, five hundred thirty-eight".