85000 has 40 divisors (see below), whose sum is σ = 210870. Its totient is φ = 32000.

The previous prime is 84991. The next prime is 85009. The reversal of 85000 is 58.

It is an interprime number because it is at equal distance from previous prime (84991) and next prime (85009).

It can be written as a sum of positive squares in 5 ways, for example, as 5476 + 79524 = 74^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85009) by changing a digit.

85000 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 (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4992 + ... + 5008.

2⁸⁵⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105435).

85000 is an abundant number, since it is smaller than the sum of its proper divisors (125870).

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

85000 is a wasteful number, since it uses less digits than its factorization.

85000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 85000 is about 291.5475947423. The cubic root of 85000 is about 43.9682967216.

Adding to 85000 its reverse (58), we get a palindrome (85058).

It can be divided in two parts, 8 and 5000, that multiplied together give a square (40000 = 200²).

The spelling of 85000 in words is "eighty-five thousand".