8242065 has 48 divisors (see below), whose sum is σ = 15676752. Its totient is φ = 3981312.

The previous prime is 8242051. The next prime is 8242079. The reversal of 8242065 is 5602428.

8242065 = 103² + 104² + ... + 295².

It is an interprime number because it is at equal distance from previous prime (8242051) and next prime (8242079).

It can be written as a sum of positive squares in 8 ways, for example, as 1065024 + 7177041 = 1032^2 + 2679^2 .

It is not a de Polignac number, because 8242065 - 2⁴ = 8242049 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42609 + ... + 42801.

It is an arithmetic number, because the mean of its divisors is an integer number (326599).

Almost surely, 2^8242065 is an apocalyptic number.

It is an amenable number.

8242065 is a deficient number, since it is larger than the sum of its proper divisors (7434687).

8242065 is a wasteful number, since it uses less digits than its factorization.

8242065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8242065 is about 2870.8996847678. The cubic root of 8242065 is about 201.9971979483.

The spelling of 8242065 in words is "eight million, two hundred forty-two thousand, sixty-five".