82254500 has 48 divisors (see below), whose sum is σ = 190230768. Its totient is φ = 30963200.

The previous prime is 82254499. The next prime is 82254503. The reversal of 82254500 is 545228.

It can be written as a sum of positive squares in 8 ways, for example, as 10445824 + 71808676 = 3232^2 + 8474^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82254500.

It is not an unprimeable number, because it can be changed into a prime (82254503) 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 15 ways as a sum of consecutive naturals, for example, 3662 + ... + 13338.

It is an arithmetic number, because the mean of its divisors is an integer number (3963141).

Almost surely, 2^82254500 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 82254500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95115384).

82254500 is an abundant number, since it is smaller than the sum of its proper divisors (107976268).

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

82254500 is a wasteful number, since it uses less digits than its factorization.

82254500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 82254500 is about 9069.4266632461. The cubic root of 82254500 is about 434.8971439556.

Adding to 82254500 its reverse (545228), we get a palindrome (82799728).

The spelling of 82254500 in words is "eighty-two million, two hundred fifty-four thousand, five hundred".