85864527 has 12 divisors (see below), whose sum is σ = 141744720. Its totient is φ = 49065408.

The previous prime is 85864517. The next prime is 85864549. The reversal of 85864527 is 72546858.

85864527 is a `hidden beast` number, since 8 + 586 + 45 + 27 = 666.

It is not a de Polignac number, because 85864527 - 2⁴ = 85864511 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85864517) 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, 681402 + ... + 681527.

It is an arithmetic number, because the mean of its divisors is an integer number (11812060).

Almost surely, 2^85864527 is an apocalyptic number.

85864527 is a deficient number, since it is larger than the sum of its proper divisors (55880193).

85864527 is a wasteful number, since it uses less digits than its factorization.

85864527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362942 (or 1362939 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85864527 is about 9266.3114020629. The cubic root of 85864527 is about 441.1685998251.

The spelling of 85864527 in words is "eighty-five million, eight hundred sixty-four thousand, five hundred twenty-seven".