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83238 = 2313873

83238 has 8 divisors (see below), whose sum is σ = 166488. Its totient is φ = 27744.

The previous prime is 83233. The next prime is 83243.

83238 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (83233) and next prime (83243).

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

83238 is an admirable number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83231) by changing a digit.

83238 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6931 + ... + 6942.

It is an arithmetic number, because the mean of its divisors is an integer number (20811).

283238 is an apocalyptic number.

83238 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 (83244).

83238 is a wasteful number, since it uses less digits than its factorization.

83238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13878.

The product of its digits is 1152, while the sum is 24.

The square root of 83238 is about 288.5099651659. The cubic root of 83238 is about 43.6623606137.

The spelling of 83238 in words is "eighty-three thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 13873 27746 41619 83238