8142003365 has 32 divisors (see below), whose sum is σ = 10392165216. Its totient is φ = 6115599360.

The previous prime is 8142003361. The next prime is 8142003377. The reversal of 8142003365 is 5633002418.

8142003365 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 16 ways, for example, as 4274282884 + 3867720481 = 65378^2 + 62191^2 .

It is not a de Polignac number, because 8142003365 - 2² = 8142003361 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142003361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591299 + ... + 604911.

It is an arithmetic number, because the mean of its divisors is an integer number (324755163).

Almost surely, 2^8142003365 is an apocalyptic number.

It is an amenable number.

8142003365 is a deficient number, since it is larger than the sum of its proper divisors (2250161851).

8142003365 is a wasteful number, since it uses less digits than its factorization.

8142003365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 8142003365 is about 90233.0502920078. The cubic root of 8142003365 is about 2011.7642789409.

The spelling of 8142003365 in words is "eight billion, one hundred forty-two million, three thousand, three hundred sixty-five".