8005242 has 32 divisors (see below), whose sum is σ = 19095552. Its totient is φ = 2187504.

The previous prime is 8005241. The next prime is 8005243. The reversal of 8005242 is 2425008.

It is an interprime number because it is at equal distance from previous prime (8005241) and next prime (8005243).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3178 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (596736).

Almost surely, 2^8005242 is an apocalyptic number.

8005242 is an abundant number, since it is smaller than the sum of its proper divisors (11090310).

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

8005242 is a wasteful number, since it uses less digits than its factorization.

8005242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8005242 is about 2829.3536364336. The cubic root of 8005242 is about 200.0436737956.

The spelling of 8005242 in words is "eight million, five thousand, two hundred forty-two".