82573344 has 288 divisors, whose sum is σ = 292795776. Its totient is φ = 22394880.

The previous prime is 82573343. The next prime is 82573363. The reversal of 82573344 is 44337528.

It is a happy number.

82573344 is a `hidden beast` number, since 82 + 573 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 82573299 and 82573308.

It is not an unprimeable number, because it can be changed into a prime (82573343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2013964 + ... + 2014004.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^82573344 is an apocalyptic number.

82573344 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82573344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

82573344 is an abundant number, since it is smaller than the sum of its proper divisors (210222432).

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

82573344 is a wasteful number, since it uses less digits than its factorization.

82573344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 82573344 is about 9086.9876196680. The cubic root of 82573344 is about 435.4583515942.

The spelling of 82573344 in words is "eighty-two million, five hundred seventy-three thousand, three hundred forty-four".