82346 has 16 divisors (see below), whose sum is σ = 142560. Its totient is φ = 35280.

The previous prime is 82339. The next prime is 82349. The reversal of 82346 is 64328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82349) by changing a digit.

82346 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 7 ways as a sum of consecutive naturals, for example, 320 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2⁸²³⁴⁶ is an apocalyptic number.

82346 is a deficient number, since it is larger than the sum of its proper divisors (60214).

82346 is a wasteful number, since it uses less digits than its factorization.

82346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229.

The product of its digits is 1152, while the sum is 23.

The square root of 82346 is about 286.9599275160. The cubic root of 82346 is about 43.5058344224.

Adding to 82346 its sum of digits (23), we get a square (82369 = 287²).

The spelling of 82346 in words is "eighty-two thousand, three hundred forty-six".