85549 has 2 divisors, whose sum is σ = 85550. Its totient is φ = 85548.

The previous prime is 85531. The next prime is 85571. The reversal of 85549 is 94558.

85549 is nontrivially palindromic in base 3.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 38025 = 218^2 + 195^2 .

It is a cyclic number.

It is not a de Polignac number, because 85549 - 2⁵ = 85517 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 85549.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42774 + 42775.

It is an arithmetic number, because the mean of its divisors is an integer number (42775).

2⁸⁵⁵⁴⁹ is an apocalyptic number.

It is an amenable number.

85549 is a deficient number, since it is larger than the sum of its proper divisors (1).

85549 is an equidigital number, since it uses as much as digits as its factorization.

85549 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 31.

The square root of 85549 is about 292.4876065750. The cubic root of 85549 is about 44.0627548063.

Subtracting 85549 from its reverse (94558), we obtain a palindrome (9009).

It can be divided in two parts, 85 and 549, that multiplied together give a triangular number (46665 = T₃₀₅).

The spelling of 85549 in words is "eighty-five thousand, five hundred forty-nine".