864802217 has 12 divisors (see below), whose sum is σ = 892541568. Its totient is φ = 837876000.

The previous prime is 864802201. The next prime is 864802247. The reversal of 864802217 is 712208468.

It is not a de Polignac number, because 864802217 - 2⁴ = 864802201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (864802247) 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 11 ways as a sum of consecutive naturals, for example, 252128 + ... + 255534.

It is an arithmetic number, because the mean of its divisors is an integer number (74378464).

Almost surely, 2^864802217 is an apocalyptic number.

It is an amenable number.

864802217 is a deficient number, since it is larger than the sum of its proper divisors (27739351).

864802217 is a wasteful number, since it uses less digits than its factorization.

864802217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 864802217 is about 29407.5197356050. The cubic root of 864802217 is about 952.7353177982.

The spelling of 864802217 in words is "eight hundred sixty-four million, eight hundred two thousand, two hundred seventeen".