82065060900 has 189 divisors, whose sum is σ = 267251518723. Its totient is φ = 21863390400.

The previous prime is 82065060893. The next prime is 82065060907. The reversal of 82065060900 is 906056028.

The square root of 82065060900 is 286470.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (82065060893) and next prime (82065060907).

It can be written as a sum of positive squares in 4 ways, for example, as 30935844 + 82034125056 = 5562^2 + 286416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82065060907) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 77346370 + ... + 77347430.

Almost surely, 2^82065060900 is an apocalyptic number.

82065060900 is the 286470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82065060900

82065060900 is an abundant number, since it is smaller than the sum of its proper divisors (185186457823).

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

82065060900 is an equidigital number, since it uses as much as digits as its factorization.

82065060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 82065060900 by its sum of digits (36), we get a square (2954342192400 = 1718820²).

82065060900 divided by its sum of digits (36) gives a square (2279585025 = 47745²).

The spelling of 82065060900 in words is "eighty-two billion, sixty-five million, sixty thousand, nine hundred".