85301 has 4 divisors (see below), whose sum is σ = 85932. Its totient is φ = 84672.
The previous prime is 85297. The next prime is 85303. The reversal of 85301 is 10358.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10358 = 2 ⋅5179.
It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 34225 = 226^2 + 185^2 .
It is a cyclic number.
It is not a de Polignac number, because 85301 - 22 = 85297 is a prime.
It is a Duffinian number.
It is a Curzon number.
It is a zygodrome in base 3.
It is a self number, because there is not a number n which added to its sum of digits gives 85301.
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 85301.
It is not an unprimeable number, because it can be changed into a prime (85303) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 413.
It is an arithmetic number, because the mean of its divisors is an integer number (21483).
285301 is an apocalyptic number.
It is an amenable number.
85301 is a deficient number, since it is larger than the sum of its proper divisors (631).
85301 is a wasteful number, since it uses less digits than its factorization.
85301 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 630.
The product of its (nonzero) digits is 120, while the sum is 17.
The square root of 85301 is about 292.0633492926. The cubic root of 85301 is about 44.0201354123.
Adding to 85301 its reverse (10358), we get a palindrome (95659).
The spelling of 85301 in words is "eighty-five thousand, three hundred one".
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