82830193 has 2 divisors, whose sum is σ = 82830194. Its totient is φ = 82830192.

The previous prime is 82830191. The next prime is 82830197. The reversal of 82830193 is 39103828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82137969 + 692224 = 9063^2 + 832^2 .

It is a cyclic number.

It is not a de Polignac number, because 82830193 - 2¹ = 82830191 is a prime.

It is a super-3 number, since 3×82830193³ (a number of 25 digits) contains 333 as substring.

Together with 82830191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82830191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41415096 + 41415097.

It is an arithmetic number, because the mean of its divisors is an integer number (41415097).

Almost surely, 2^82830193 is an apocalyptic number.

It is an amenable number.

82830193 is a deficient number, since it is larger than the sum of its proper divisors (1).

82830193 is an equidigital number, since it uses as much as digits as its factorization.

82830193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 82830193 is about 9101.1094378653. The cubic root of 82830193 is about 435.9093901009.

The spelling of 82830193 in words is "eighty-two million, eight hundred thirty thousand, one hundred ninety-three".