86874 has 8 divisors (see below), whose sum is σ = 173760. Its totient is φ = 28956.

The previous prime is 86869. The next prime is 86923. The reversal of 86874 is 47868.

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

86874 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86874.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7234 + ... + 7245.

It is an arithmetic number, because the mean of its divisors is an integer number (21720).

2⁸⁶⁸⁷⁴ is an apocalyptic number.

86874 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86880).

86874 is a wasteful number, since it uses less digits than its factorization.

86874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14484.

The product of its digits is 10752, while the sum is 33.

The square root of 86874 is about 294.7439566810. The cubic root of 86874 is about 44.2890746174.

The spelling of 86874 in words is "eighty-six thousand, eight hundred seventy-four".