82320100 has 18 divisors (see below), whose sum is σ = 178634834. Its totient is φ = 32928000.

The previous prime is 82320089. The next prime is 82320101. The reversal of 82320100 is 102328.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6421156 + 75898944 = 2534^2 + 8712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82320101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411501 + ... + 411700.

Almost surely, 2^82320100 is an apocalyptic number.

It is an amenable number.

82320100 is an abundant number, since it is smaller than the sum of its proper divisors (96314734).

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

82320100 is a wasteful number, since it uses less digits than its factorization.

82320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823215 (or 823208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 82320100 is about 9073.0424886033. The cubic root of 82320100 is about 435.0127269804.

Adding to 82320100 its reverse (102328), we get a palindrome (82422428).

The spelling of 82320100 in words is "eighty-two million, three hundred twenty thousand, one hundred".