85986549 has 32 divisors (see below), whose sum is σ = 140572800. Its totient is φ = 51511680.

The previous prime is 85986521. The next prime is 85986577. The reversal of 85986549 is 94568958.

It is a happy number.

85986549 is a `hidden beast` number, since 8 + 5 + 98 + 6 + 549 = 666.

It is an interprime number because it is at equal distance from previous prime (85986521) and next prime (85986577).

It is not a de Polignac number, because 85986549 - 2⁸ = 85986293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85986495 and 85986504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85986599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24807 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (4392900).

Almost surely, 2^85986549 is an apocalyptic number.

85986549 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

85986549 is a deficient number, since it is larger than the sum of its proper divisors (54586251).

85986549 is a wasteful number, since it uses less digits than its factorization.

85986549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 85986549 is about 9272.8932378196. The cubic root of 85986549 is about 441.3774823386.

The spelling of 85986549 in words is "eighty-five million, nine hundred eighty-six thousand, five hundred forty-nine".