8245 has 8 divisors (see below), whose sum is σ = 10584. Its totient is φ = 6144.

The previous prime is 8243. The next prime is 8263. The reversal of 8245 is 5428.

8245 = 4³ + 5³ + ... + 13³.

It is a happy number.

8245 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1521 + 6724 = 39^2 + 82^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(8245) divides (8245-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 8245 - 2¹ = 8243 is a prime.

It is a d-powerful number, because it can be written as 8³ + 4⁶ + 2⁹ + 5⁵ .

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2⁸²⁴⁵ is an apocalyptic number.

8245 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8245 is a deficient number, since it is larger than the sum of its proper divisors (2339).

8245 is a wasteful number, since it uses less digits than its factorization.

8245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its digits is 320, while the sum is 19.

The square root of 8245 is about 90.8019823572. The cubic root of 8245 is about 20.2021172175.

It can be divided in two parts, 8 and 245, that added together give a triangular number (253 = T₂₂).

The spelling of 8245 in words is "eight thousand, two hundred forty-five".