83085601 has 2 divisors, whose sum is σ = 83085602. Its totient is φ = 83085600.

The previous prime is 83085593. The next prime is 83085617. The reversal of 83085601 is 10658038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82083600 + 1002001 = 9060^2 + 1001^2 .

It is a cyclic number.

It is not a de Polignac number, because 83085601 - 2³ = 83085593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (83085631) 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, 41542800 + 41542801.

It is an arithmetic number, because the mean of its divisors is an integer number (41542801).

Almost surely, 2^83085601 is an apocalyptic number.

It is an amenable number.

83085601 is a deficient number, since it is larger than the sum of its proper divisors (1).

83085601 is an equidigital number, since it uses as much as digits as its factorization.

83085601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 83085601 is about 9115.1303336815. The cubic root of 83085601 is about 436.3569745024.

The spelling of 83085601 in words is "eighty-three million, eighty-five thousand, six hundred one".