8250 has 32 divisors (see below), whose sum is σ = 22464. Its totient is φ = 2000.

The previous prime is 8243. The next prime is 8263. The reversal of 8250 is 528.

Added to its reverse (528) it gives a triangular number (8778 = T₁₃₂).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 745 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (702).

2⁸²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232).

8250 is an abundant number, since it is smaller than the sum of its proper divisors (14214).

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

8250 is a wasteful number, since it uses less digits than its factorization.

8250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 8250 is about 90.8295106229. The cubic root of 8250 is about 20.2062001031.

Adding to 8250 its reverse (528), we get a palindrome (8778).

The spelling of 8250 in words is "eight thousand, two hundred fifty".