83232 has 54 divisors (see below), whose sum is σ = 251433. Its totient is φ = 26112.
The previous prime is 83231. The next prime is 83233. The reversal of 83232 is 23238.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (83231) and next prime (83233).
It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 7056 = 276^2 + 84^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=204.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is an alternating number because its digits alternate between even and odd.
It is not an unprimeable number, because it can be changed into a prime (83231) by changing a digit.
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 8 ways as a sum of consecutive naturals, for example, 4888 + ... + 4904.
283232 is an apocalyptic number.
It is a pronic number, being equal to 288×289.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83232
83232 is an abundant number, since it is smaller than the sum of its proper divisors (168201).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83232 is a wasteful number, since it uses less digits than its factorization.
83232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50 (or 22 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 83232 is about 288.4995667241. The cubic root of 83232 is about 43.6613114916.
Multiplying 83232 by its sum of digits (18), we get a square (1498176 = 12242).
83232 divided by its sum of digits (18) gives a square (4624 = 682).
Subtracting from 83232 its product of digits (288), we obtain a square (82944 = 2882).
Multiplying 83232 by its product of digits (288), we get a square (23970816 = 48962).
83232 divided by its product of digits (288) gives a square (289 = 172).
It can be divided in two parts, 8 and 3232, that added together give a triangular number (3240 = T80).
The spelling of 83232 in words is "eighty-three thousand, two hundred thirty-two".
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