82329144 has 128 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 24482304.

The previous prime is 82329119. The next prime is 82329151. The reversal of 82329144 is 44192328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592227 + ... + 592365.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^82329144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82329144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

82329144 is an abundant number, since it is smaller than the sum of its proper divisors (147494856).

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

82329144 is a wasteful number, since it uses less digits than its factorization.

82329144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82329144 is about 9073.5408744326. The cubic root of 82329144 is about 435.0286571159.

The spelling of 82329144 in words is "eighty-two million, three hundred twenty-nine thousand, one hundred forty-four".