8213138345 has 8 divisors (see below), whose sum is σ = 10435517064. Its totient is φ = 6184009984.

The previous prime is 8213138309. The next prime is 8213138347. The reversal of 8213138345 is 5438313128.

8213138345 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 4 ways, for example, as 1836636736 + 6376501609 = 42856^2 + 79853^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8213138345 - 2¹⁸ = 8212876201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8213138299 and 8213138308.

It is not an unprimeable number, because it can be changed into a prime (8213138347) 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 7 ways as a sum of consecutive naturals, for example, 48312494 + ... + 48312663.

It is an arithmetic number, because the mean of its divisors is an integer number (1304439633).

Almost surely, 2^8213138345 is an apocalyptic number.

8213138345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8213138345 is a deficient number, since it is larger than the sum of its proper divisors (2222378719).

8213138345 is a wasteful number, since it uses less digits than its factorization.

8213138345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96625179.

The product of its digits is 69120, while the sum is 38.

The square root of 8213138345 is about 90626.3667207287. The cubic root of 8213138345 is about 2017.6060868173.

The spelling of 8213138345 in words is "eight billion, two hundred thirteen million, one hundred thirty-eight thousand, three hundred forty-five".