86859 has 8 divisors (see below), whose sum is σ = 128720. Its totient is φ = 57888.

The previous prime is 86857. The next prime is 86861. The reversal of 86859 is 95868.

It is an interprime number because it is at equal distance from previous prime (86857) and next prime (86861).

It is not a de Polignac number, because 86859 - 2¹ = 86857 is a prime.

It is a super-3 number, since 3×86859³ = 1965919497413337, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (16090).

2⁸⁶⁸⁵⁹ is an apocalyptic number.

86859 is a deficient number, since it is larger than the sum of its proper divisors (41861).

86859 is a wasteful number, since it uses less digits than its factorization.

86859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3220 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 86859 is about 294.7185097682. The cubic root of 86859 is about 44.2865254299.

Subtracting 86859 from its reverse (95868), we obtain a palindrome (9009).

It can be divided in two parts, 8 and 6859, that multiplied together give a cube (54872 = 38³).

The spelling of 86859 in words is "eighty-six thousand, eight hundred fifty-nine".