83136 has 28 divisors (see below), whose sum is σ = 220472. Its totient is φ = 27648.

The previous prime is 83117. The next prime is 83137. The reversal of 83136 is 63138.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83137) by changing a digit.

83136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2⁸³¹³⁶ 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 83136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110236).

83136 is an abundant number, since it is smaller than the sum of its proper divisors (137336).

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

83136 is a wasteful number, since it uses less digits than its factorization.

83136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 83136 is about 288.3331406550. Note that the first 3 decimals coincide. The cubic root of 83136 is about 43.6445186779.

The spelling of 83136 in words is "eighty-three thousand, one hundred thirty-six".