82558561 has 2 divisors, whose sum is σ = 82558562. Its totient is φ = 82558560.

The previous prime is 82558519. The next prime is 82558573. The reversal of 82558561 is 16585528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78872161 + 3686400 = 8881^2 + 1920^2 .

It is a cyclic number.

It is not a de Polignac number, because 82558561 - 2¹⁷ = 82427489 is a prime.

It is not a weakly prime, because it can be changed into another prime (82558501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41279280 + 41279281.

It is an arithmetic number, because the mean of its divisors is an integer number (41279281).

Almost surely, 2^82558561 is an apocalyptic number.

It is an amenable number.

82558561 is a deficient number, since it is larger than the sum of its proper divisors (1).

82558561 is an equidigital number, since it uses as much as digits as its factorization.

82558561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96000, while the sum is 40.

The square root of 82558561 is about 9086.1741673820. The cubic root of 82558561 is about 435.4323635263.

The spelling of 82558561 in words is "eighty-two million, five hundred fifty-eight thousand, five hundred sixty-one".