85055849 has 12 divisors (see below), whose sum is σ = 87933636. Its totient is φ = 82266912.

The previous prime is 85055809. The next prime is 85055851. The reversal of 85055849 is 94855058.

It can be written as a sum of positive squares in 2 ways, for example, as 56625625 + 28430224 = 7525^2 + 5332^2 .

It is not a de Polignac number, because 85055849 - 2²⁴ = 68278633 is a prime.

It is a super-2 number, since 2×85055849² = 14468994898221602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85055809) 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 in 11 ways as a sum of consecutive naturals, for example, 290147 + ... + 290439.

It is an arithmetic number, because the mean of its divisors is an integer number (7327803).

Almost surely, 2^85055849 is an apocalyptic number.

It is an amenable number.

85055849 is a deficient number, since it is larger than the sum of its proper divisors (2877787).

85055849 is a wasteful number, since it uses less digits than its factorization.

85055849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 44.

The square root of 85055849 is about 9222.5727972188. The cubic root of 85055849 is about 439.7792435997.

The spelling of 85055849 in words is "eighty-five million, fifty-five thousand, eight hundred forty-nine".