82830566809 has 9 divisors (see below), whose sum is σ = 83210760927. Its totient is φ = 82452105864.

The previous prime is 82830566803. The next prime is 82830566831. The reversal of 82830566809 is 90866503828.

It is a happy number.

The square root of 82830566809 is 287803.

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

It can be written as a sum of positive squares in only one way, i.e., 14276665225 + 68553901584 = 119485^2 + 261828^2 .

It is not a de Polignac number, because 82830566809 - 2³ = 82830566801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82830566809.

It is not an unprimeable number, because it can be changed into a prime (82830566801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79720912 + ... + 79721950.

It is an arithmetic number, because the mean of its divisors is an integer number (9245640103).

Almost surely, 2^82830566809 is an apocalyptic number.

82830566809 is the 287803-rd square number.

82830566809 is the 143902-nd centered octagonal number.

It is an amenable number.

82830566809 is a deficient number, since it is larger than the sum of its proper divisors (380194118).

82830566809 is an frugal number, since it uses more digits than its factorization.

82830566809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 82830566809 in words is "eighty-two billion, eight hundred thirty million, five hundred sixty-six thousand, eight hundred nine".