83346 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 26768.

The previous prime is 83341. The next prime is 83357. The reversal of 83346 is 64338.

It is a d-powerful number, because it can be written as 8³ + 3⁹ + 3¹⁰ + 4⁶ + 6 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83341) 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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁸³³⁴⁶ is an apocalyptic number.

83346 is an abundant number, since it is smaller than the sum of its proper divisors (89454).

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 (86400).

83346 is a wasteful number, since it uses less digits than its factorization.

83346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513.

The product of its digits is 1728, while the sum is 24.

The square root of 83346 is about 288.6970730714. The cubic root of 83346 is about 43.6812361952.

Subtracting from 83346 its product of digits (1728), we obtain a palindrome (81618).

The spelling of 83346 in words is "eighty-three thousand, three hundred forty-six".