82140300 has 108 divisors (see below), whose sum is σ = 280903896. Its totient is φ = 19910400.

The previous prime is 82140293. The next prime is 82140319. The reversal of 82140300 is 304128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 5752 + ... + 14048.

It is an arithmetic number, because the mean of its divisors is an integer number (2600962).

Almost surely, 2^82140300 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 82140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451948).

82140300 is an abundant number, since it is smaller than the sum of its proper divisors (198763596).

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

82140300 is a wasteful number, since it uses less digits than its factorization.

82140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82140300 is about 9063.1285988890. The cubic root of 82140300 is about 434.6957841264.

Adding to 82140300 its reverse (304128), we get a palindrome (82444428).

The spelling of 82140300 in words is "eighty-two million, one hundred forty thousand, three hundred".