82065800 has 48 divisors (see below), whose sum is σ = 202035060. Its totient is φ = 30894080.

The previous prime is 82065791. The next prime is 82065803. The reversal of 82065800 is 856028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50098084 + 31967716 = 7078^2 + 5654^2 .

It is not an unprimeable number, because it can be changed into a prime (82065803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8669 + ... + 15468.

Almost surely, 2^82065800 is an apocalyptic number.

It is an amenable number.

82065800 is an abundant number, since it is smaller than the sum of its proper divisors (119969260).

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

82065800 is a wasteful number, since it uses less digits than its factorization.

82065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24170 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 82065800 is about 9059.0176067828. The cubic root of 82065800 is about 434.5643235575.

The spelling of 82065800 in words is "eighty-two million, sixty-five thousand, eight hundred".