85926 has 8 divisors (see below), whose sum is σ = 171864. Its totient is φ = 28640.

The previous prime is 85909. The next prime is 85931. The reversal of 85926 is 62958.

85926 is nontrivially palindromic in base 5.

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

85926 is an admirable number.

It is a d-powerful number, because it can be written as 8 + 5⁷ + 9 + 2³ + 6⁵ .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85893 and 85902.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85926.

It is an unprimeable number.

85926 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7155 + ... + 7166.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2⁸⁵⁹²⁶ is an apocalyptic number.

85926 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 (85932).

85926 is a wasteful number, since it uses less digits than its factorization.

85926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326.

The product of its digits is 4320, while the sum is 30.

The square root of 85926 is about 293.1313698668. The cubic root of 85926 is about 44.1273856671.

The spelling of 85926 in words is "eighty-five thousand, nine hundred twenty-six".