50850 has 36 divisors (see below), whose sum is σ = 137826. Its totient is φ = 13440.

The previous prime is 50849. The next prime is 50857. The reversal of 50850 is 5805.

It can be written as a sum of positive squares in 3 ways, for example, as 21609 + 29241 = 147^2 + 171^2 .

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50857) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 394 + ... + 506.

2⁵⁰⁸⁵⁰ is an apocalyptic number.

50850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 225×226.

It is a practical number, because each smaller number is the sum of distinct divisors of 50850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68913).

50850 is an abundant number, since it is smaller than the sum of its proper divisors (86976).

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

50850 is a wasteful number, since it uses less digits than its factorization.

50850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

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

The square root of 50850 is about 225.4994456756. The cubic root of 50850 is about 37.0479048354.

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

The spelling of 50850 in words is "fifty thousand, eight hundred fifty".