83312 has 20 divisors (see below), whose sum is σ = 166656. Its totient is φ = 40320.

The previous prime is 83311. The next prime is 83339. The reversal of 83312 is 21338.

83312 is an admirable number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83311) 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 3 ways as a sum of consecutive naturals, for example, 593 + ... + 719.

2⁸³³¹² is an apocalyptic number.

83312 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

83312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

83312 is a wasteful number, since it uses less digits than its factorization.

83312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 83312 is about 288.6381818125. The cubic root of 83312 is about 43.6752956421.

The spelling of 83312 in words is "eighty-three thousand, three hundred twelve".