85050 has 72 divisors (see below), whose sum is σ = 270816. Its totient is φ = 19440.

The previous prime is 85049. The next prime is 85061. The reversal of 85050 is 5058.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12147 + ... + 12153.

2⁸⁵⁰⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

85050 is an abundant number, since it is smaller than the sum of its proper divisors (185766).

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

85050 is a wasteful number, since it uses less digits than its factorization.

85050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 85050 is about 291.6333314284. The cubic root of 85050 is about 43.9769162663.

It can be divided in two parts, 850 and 50, that added together give a square (900 = 30²).

The spelling of 85050 in words is "eighty-five thousand, fifty".