82473300 has 432 divisors, whose sum is σ = 341228160. Its totient is φ = 16174080.

The previous prime is 82473289. The next prime is 82473311. The reversal of 82473300 is 337428.

It is an interprime number because it is at equal distance from previous prime (82473289) and next prime (82473311).

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 143 ways as a sum of consecutive naturals, for example, 1556074 + ... + 1556126.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^82473300 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 82473300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

82473300 is an abundant number, since it is smaller than the sum of its proper divisors (258754860).

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

82473300 is a wasteful number, since it uses less digits than its factorization.

82473300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82473300 is about 9081.4811567277. The cubic root of 82473300 is about 435.2824166851.

The spelling of 82473300 in words is "eighty-two million, four hundred seventy-three thousand, three hundred".