82584077 has 2 divisors, whose sum is σ = 82584078. Its totient is φ = 82584076.

The previous prime is 82584071. The next prime is 82584137. The reversal of 82584077 is 77048528.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63696361 + 18887716 = 7981^2 + 4346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82584077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82584071) 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 as a sum of consecutive naturals, namely, 41292038 + 41292039.

It is an arithmetic number, because the mean of its divisors is an integer number (41292039).

Almost surely, 2^82584077 is an apocalyptic number.

It is an amenable number.

82584077 is a deficient number, since it is larger than the sum of its proper divisors (1).

82584077 is an equidigital number, since it uses as much as digits as its factorization.

82584077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 82584077 is about 9087.5781702278. The cubic root of 82584077 is about 435.4772179409.

The spelling of 82584077 in words is "eighty-two million, five hundred eighty-four thousand, seventy-seven".