5850 has 36 divisors (see below), whose sum is σ = 16926. Its totient is φ = 1440.

The previous prime is 5849. The next prime is 5851. The reversal of 5850 is 585.

It is an interprime number because it is at equal distance from previous prime (5849) and next prime (5851).

It can be written as a sum of positive squares in 3 ways, for example, as 3249 + 2601 = 57^2 + 51^2 .

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 odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 444 + ... + 456.

5850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463).

5850 is an abundant number, since it is smaller than the sum of its proper divisors (11076).

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

5850 is a wasteful number, since it uses less digits than its factorization.

5850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 23 counting only the distinct ones).

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

The square root of 5850 is about 76.4852927039. The cubic root of 5850 is about 18.0184994991.

Subtracting from 5850 its sum of digits (18), we obtain a cube (5832 = 18³).

5850 divided by its sum of digits (18) gives a triangular number (325 = T₂₅).

The spelling of 5850 in words is "five thousand, eight hundred fifty".