86815 has 8 divisors (see below), whose sum is σ = 105840. Its totient is φ = 68352.

The previous prime is 86813. The next prime is 86837. The reversal of 86815 is 51868.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86815 - 2¹ = 86813 is a prime.

It is a super-3 number, since 3×86815³ = 1962933394180125, which contains 333 as substring.

86815 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86813) 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, 396 + ... + 574.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2⁸⁶⁸¹⁵ is an apocalyptic number.

86815 is a deficient number, since it is larger than the sum of its proper divisors (19025).

86815 is a wasteful number, since it uses less digits than its factorization.

86815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281.

The product of its digits is 1920, while the sum is 28.

The square root of 86815 is about 294.6438528122. The cubic root of 86815 is about 44.2790461195.

The spelling of 86815 in words is "eighty-six thousand, eight hundred fifteen".