8042581 has 8 divisors (see below), whose sum is σ = 8550360. Its totient is φ = 7564864.

The previous prime is 8042569. The next prime is 8042603. The reversal of 8042581 is 1852408.

It can be written as a sum of positive squares in 4 ways, for example, as 152100 + 7890481 = 390^2 + 2809^2 .

It is not a de Polignac number, because 8042581 - 2¹¹ = 8040533 is a prime.

It is a super-2 number, since 2×8042581² = 129366218283122, which contains 22 as substring.

It is a Duffinian number.

8042581 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042521) 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 7 ways as a sum of consecutive naturals, for example, 4095 + ... + 5731.

It is an arithmetic number, because the mean of its divisors is an integer number (1068795).

Almost surely, 2^8042581 is an apocalyptic number.

It is an amenable number.

8042581 is a deficient number, since it is larger than the sum of its proper divisors (507779).

8042581 is an equidigital number, since it uses as much as digits as its factorization.

8042581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 8042581 is about 2835.9444634901. The cubic root of 8042581 is about 200.3542139587.

Adding to 8042581 its reverse (1852408), we get a palindrome (9894989).

The spelling of 8042581 in words is "eight million, forty-two thousand, five hundred eighty-one".