82446 has 32 divisors (see below), whose sum is σ = 204288. Its totient is φ = 21600.

The previous prime is 82421. The next prime is 82457. The reversal of 82446 is 64428.

It is a d-powerful number, because it can be written as 8 + 2⁹ + 4⁷ + 4⁸ + 6 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

82446 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁸²⁴⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

82446 is an abundant number, since it is smaller than the sum of its proper divisors (121842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82446 is a wasteful number, since it uses less digits than its factorization.

82446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176.

The product of its digits is 1536, while the sum is 24.

The square root of 82446 is about 287.1341150055. The cubic root of 82446 is about 43.5234382871.

It can be divided in two parts, 82 and 446, that added together give a triangular number (528 = T₃₂).

The spelling of 82446 in words is "eighty-two thousand, four hundred forty-six".