83536 has 20 divisors (see below), whose sum is σ = 169632. Its totient is φ = 39776.

The previous prime is 83497. The next prime is 83537. The reversal of 83536 is 63538.

It is a self number, because there is not a number n which added to its sum of digits gives 83536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83537) by changing a digit.

83536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255 + ... + 481.

2⁸³⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

83536 is an abundant number, since it is smaller than the sum of its proper divisors (86096).

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

83536 is a wasteful number, since it uses less digits than its factorization.

83536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 83536 is about 289.0259503920. The cubic root of 83536 is about 43.7144036987.

The spelling of 83536 in words is "eighty-three thousand, five hundred thirty-six".