86135643 has 40 divisors (see below), whose sum is σ = 141279600. Its totient is φ = 51865920.

The previous prime is 86135641. The next prime is 86135663. The reversal of 86135643 is 34653168.

86135643 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 5 + 643 = 666.

It is not a de Polignac number, because 86135643 - 2¹ = 86135641 is a prime.

Its product of digits (51840) is a multiple of the sum of its prime divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 86135598 and 86135607.

It is not an unprimeable number, because it can be changed into a prime (86135641) 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 39 ways as a sum of consecutive naturals, for example, 246633 + ... + 246981.

It is an arithmetic number, because the mean of its divisors is an integer number (3531990).

Almost surely, 2^86135643 is an apocalyptic number.

86135643 is a deficient number, since it is larger than the sum of its proper divisors (55143957).

86135643 is a wasteful number, since it uses less digits than its factorization.

86135643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 640 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86135643 is about 9280.9289944488. The cubic root of 86135643 is about 441.6324397985.

The spelling of 86135643 in words is "eighty-six million, one hundred thirty-five thousand, six hundred forty-three".