85266 has 16 divisors (see below), whose sum is σ = 189600. Its totient is φ = 28404.
The previous prime is 85259. The next prime is 85297. The reversal of 85266 is 66258.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
85266 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736 + ... + 843.
It is an arithmetic number, because the mean of its divisors is an integer number (11850).
285266 is an apocalyptic number.
85266 is an abundant number, since it is smaller than the sum of its proper divisors (104334).
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 (94800).
85266 is a wasteful number, since it uses less digits than its factorization.
85266 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).
The product of its digits is 2880, while the sum is 27.
The square root of 85266 is about 292.0034246375. The cubic root of 85266 is about 44.0141139295.
It can be divided in two parts, 85 and 266, that added together give a triangular number (351 = T26).
The spelling of 85266 in words is "eighty-five thousand, two hundred sixty-six".
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