8217785104 has 45 divisors (see below), whose sum is σ = 16137706549. Its totient is φ = 4053957440.

The previous prime is 8217785101. The next prime is 8217785111. The reversal of 8217785104 is 4015877128.

The square root of 8217785104 is 90652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7475331600 + 742453504 = 86460^2 + 27248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8217785101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47501562 + ... + 47501734.

Almost surely, 2^8217785104 is an apocalyptic number.

8217785104 is the 90652-nd square number.

It is an amenable number.

8217785104 is a deficient number, since it is larger than the sum of its proper divisors (7919921445).

8217785104 is an equidigital number, since it uses as much as digits as its factorization.

8217785104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 43.

The cubic root of 8217785104 is about 2017.9865163724.

It can be divided in two parts, 82177 and 85104, that added together give a square (167281 = 409²).

The spelling of 8217785104 in words is "eight billion, two hundred seventeen million, seven hundred eighty-five thousand, one hundred four".