85546441 has 2 divisors, whose sum is σ = 85546442. Its totient is φ = 85546440.

The previous prime is 85546429. The next prime is 85546477. The reversal of 85546441 is 14464558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78765625 + 6780816 = 8875^2 + 2604^2 .

It is a cyclic number.

It is not a de Polignac number, because 85546441 - 2⁷ = 85546313 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85546441.

It is not a weakly prime, because it can be changed into another prime (85546411) 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, 42773220 + 42773221.

It is an arithmetic number, because the mean of its divisors is an integer number (42773221).

Almost surely, 2^85546441 is an apocalyptic number.

It is an amenable number.

85546441 is a deficient number, since it is larger than the sum of its proper divisors (1).

85546441 is an equidigital number, since it uses as much as digits as its factorization.

85546441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 76800, while the sum is 37.

The square root of 85546441 is about 9249.1319052114. The cubic root of 85546441 is about 440.6231545687.

The spelling of 85546441 in words is "eighty-five million, five hundred forty-six thousand, four hundred forty-one".