82973418 has 64 divisors (see below), whose sum is σ = 192430080. Its totient is φ = 23587200.

The previous prime is 82973417. The next prime is 82973431. The reversal of 82973418 is 81437928.

It is a self number, because there is not a number n which added to its sum of digits gives 82973418.

It is not an unprimeable number, because it can be changed into a prime (82973417) 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 31 ways as a sum of consecutive naturals, for example, 158998 + ... + 159518.

It is an arithmetic number, because the mean of its divisors is an integer number (3006720).

Almost surely, 2^82973418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82973418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96215040).

82973418 is an abundant number, since it is smaller than the sum of its proper divisors (109456662).

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

82973418 is a wasteful number, since it uses less digits than its factorization.

82973418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 96768, while the sum is 42.

The square root of 82973418 is about 9108.9745855393. The cubic root of 82973418 is about 436.1604948791.

It can be divided in two parts, 829 and 73418, that added together give a palindrome (74247).

The spelling of 82973418 in words is "eighty-two million, nine hundred seventy-three thousand, four hundred eighteen".