84585301 has 2 divisors, whose sum is σ = 84585302. Its totient is φ = 84585300.

The previous prime is 84585287. The next prime is 84585311. The reversal of 84585301 is 10358548.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82628100 + 1957201 = 9090^2 + 1399^2 .

It is a cyclic number.

It is not a de Polignac number, because 84585301 - 2⁵ = 84585269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84585311) 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, 42292650 + 42292651.

It is an arithmetic number, because the mean of its divisors is an integer number (42292651).

Almost surely, 2^84585301 is an apocalyptic number.

It is an amenable number.

84585301 is a deficient number, since it is larger than the sum of its proper divisors (1).

84585301 is an equidigital number, since it uses as much as digits as its factorization.

84585301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 84585301 is about 9197.0267478137. The cubic root of 84585301 is about 438.9667577218.

The spelling of 84585301 in words is "eighty-four million, five hundred eighty-five thousand, three hundred one".