86585751 has 12 divisors (see below), whose sum is σ = 142935312. Its totient is φ = 49477536.

The previous prime is 86585699. The next prime is 86585761. The reversal of 86585751 is 15758568.

It is not a de Polignac number, because 86585751 - 2⁶ = 86585687 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 junction number, because it is equal to n+sod(n) for n = 86585697 and 86585706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86585761) 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, 687126 + ... + 687251.

It is an arithmetic number, because the mean of its divisors is an integer number (11911276).

Almost surely, 2^86585751 is an apocalyptic number.

86585751 is a deficient number, since it is larger than the sum of its proper divisors (56349561).

86585751 is a wasteful number, since it uses less digits than its factorization.

86585751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374390 (or 1374387 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 86585751 is about 9305.1464792340. The cubic root of 86585751 is about 442.4003644292.

The spelling of 86585751 in words is "eighty-six million, five hundred eighty-five thousand, seven hundred fifty-one".