84505601 has 2 divisors, whose sum is σ = 84505602. Its totient is φ = 84505600.

The previous prime is 84505567. The next prime is 84505609. The reversal of 84505601 is 10650548.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84364225 + 141376 = 9185^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 84505601 - 2¹⁰ = 84504577 is a prime.

It is a super-3 number, since 3×84505601³ (a number of 25 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (84505609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42252800 + 42252801.

It is an arithmetic number, because the mean of its divisors is an integer number (42252801).

Almost surely, 2^84505601 is an apocalyptic number.

It is an amenable number.

84505601 is a deficient number, since it is larger than the sum of its proper divisors (1).

84505601 is an equidigital number, since it uses as much as digits as its factorization.

84505601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 84505601 is about 9192.6928046139. The cubic root of 84505601 is about 438.8288431185.

The spelling of 84505601 in words is "eighty-four million, five hundred five thousand, six hundred one".