817361609 has 12 divisors (see below), whose sum is σ = 850172148. Its totient is φ = 785347200.

The previous prime is 817361599. The next prime is 817361621. The reversal of 817361609 is 906163718.

It can be written as a sum of positive squares in 2 ways, for example, as 151979584 + 665382025 = 12328^2 + 25795^2 .

It is not a de Polignac number, because 817361609 - 2²⁸ = 548926153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (817361689) 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, 181829 + ... + 186269.

It is an arithmetic number, because the mean of its divisors is an integer number (70847679).

Almost surely, 2^817361609 is an apocalyptic number.

It is an amenable number.

817361609 is a deficient number, since it is larger than the sum of its proper divisors (32810539).

817361609 is an equidigital number, since it uses as much as digits as its factorization.

817361609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 817361609 is about 28589.5367048856. The cubic root of 817361609 is about 934.9852186745.

The spelling of 817361609 in words is "eight hundred seventeen million, three hundred sixty-one thousand, six hundred nine".