85820567 has 16 divisors (see below), whose sum is σ = 102627840. Its totient is φ = 70168032.

The previous prime is 85820557. The next prime is 85820593. The reversal of 85820567 is 76502858.

It is a de Polignac number, because none of the positive numbers 2^k-85820567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85820507) 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 15 ways as a sum of consecutive naturals, for example, 103109 + ... + 103937.

It is an arithmetic number, because the mean of its divisors is an integer number (6414240).

Almost surely, 2^85820567 is an apocalyptic number.

85820567 is a deficient number, since it is larger than the sum of its proper divisors (16807273).

85820567 is a wasteful number, since it uses less digits than its factorization.

85820567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502.

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 85820567 is about 9263.9390649982. The cubic root of 85820567 is about 441.0932987163.

The spelling of 85820567 in words is "eighty-five million, eight hundred twenty thousand, five hundred sixty-seven".