82418500 has 24 divisors (see below), whose sum is σ = 180003096. Its totient is φ = 32967200.

The previous prime is 82418489. The next prime is 82418507. The reversal of 82418500 is 581428.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 79852096 = 1602^2 + 8936^2 .

It is not an unprimeable number, because it can be changed into a prime (82418507) 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 7 ways as a sum of consecutive naturals, for example, 81919 + ... + 82918.

It is an arithmetic number, because the mean of its divisors is an integer number (7500129).

Almost surely, 2^82418500 is an apocalyptic number.

It is an amenable number.

82418500 is an abundant number, since it is smaller than the sum of its proper divisors (97584596).

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

82418500 is a wasteful number, since it uses less digits than its factorization.

82418500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164856 (or 164844 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 82418500 is about 9078.4635263904. The cubic root of 82418500 is about 435.1859864401.

Adding to 82418500 its reverse (581428), we get a palindrome (82999928).

The spelling of 82418500 in words is "eighty-two million, four hundred eighteen thousand, five hundred".