80584201 has 2 divisors, whose sum is σ = 80584202. Its totient is φ = 80584200.

The previous prime is 80584177. The next prime is 80584211. The reversal of 80584201 is 10248508.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80568576 + 15625 = 8976^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 80584201 - 2⁵ = 80584169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 80584201.

It is not a weakly prime, because it can be changed into another prime (80584211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40292100 + 40292101.

It is an arithmetic number, because the mean of its divisors is an integer number (40292101).

Almost surely, 2^80584201 is an apocalyptic number.

It is an amenable number.

80584201 is a deficient number, since it is larger than the sum of its proper divisors (1).

80584201 is an equidigital number, since it uses as much as digits as its factorization.

80584201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 80584201 is about 8976.8703343649. The cubic root of 80584201 is about 431.9332476450.

The spelling of 80584201 in words is "eighty million, five hundred eighty-four thousand, two hundred one".