8382105 has 24 divisors (see below), whose sum is σ = 15385032. Its totient is φ = 4207104.

The previous prime is 8382089. The next prime is 8382107. The reversal of 8382105 is 5012838.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2152089 + 6230016 = 1467^2 + 2496^2 .

It is not a de Polignac number, because 8382105 - 2⁴ = 8382089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8382107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (641043).

Almost surely, 2^8382105 is an apocalyptic number.

8382105 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8382105 is a deficient number, since it is larger than the sum of its proper divisors (7002927).

8382105 is a wasteful number, since it uses less digits than its factorization.

8382105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8382105 is about 2895.1865224887. The cubic root of 8382105 is about 203.1348162514.

The spelling of 8382105 in words is "eight million, three hundred eighty-two thousand, one hundred five".