85827 has 16 divisors (see below), whose sum is σ = 134912. Its totient is φ = 47520.
The previous prime is 85819. The next prime is 85829. The reversal of 85827 is 72858.
It is not a de Polignac number, because 85827 - 23 = 85819 is a prime.
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 85794 and 85803.
It is not an unprimeable number, because it can be changed into a prime (85829) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 1314.
It is an arithmetic number, because the mean of its divisors is an integer number (8432).
285827 is an apocalyptic number.
85827 is a deficient number, since it is larger than the sum of its proper divisors (49085).
85827 is a wasteful number, since it uses less digits than its factorization.
85827 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138.
The product of its digits is 4480, while the sum is 30.
The square root of 85827 is about 292.9624549324. The cubic root of 85827 is about 44.1104319704.
The spelling of 85827 in words is "eighty-five thousand, eight hundred twenty-seven".
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