823768065 has 24 divisors (see below), whose sum is σ = 1511858088. Its totient is φ = 413498880.

The previous prime is 823768063. The next prime is 823768067. The reversal of 823768065 is 560867328.

It is an interprime number because it is at equal distance from previous prime (823768063) and next prime (823768067).

It can be written as a sum of positive squares in 4 ways, for example, as 230796864 + 592971201 = 15192^2 + 24351^2 .

It is not a de Polignac number, because 823768065 - 2¹ = 823768063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 823768065.

It is not an unprimeable number, because it can be changed into a prime (823768061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537646 + ... + 539175.

It is an arithmetic number, because the mean of its divisors is an integer number (62994087).

Almost surely, 2^823768065 is an apocalyptic number.

823768065 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

823768065 is a deficient number, since it is larger than the sum of its proper divisors (688090023).

823768065 is a wasteful number, since it uses less digits than its factorization.

823768065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076849 (or 1076846 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 823768065 is about 28701.3599851993. The cubic root of 823768065 is about 937.4216595871.

The spelling of 823768065 in words is "eight hundred twenty-three million, seven hundred sixty-eight thousand, sixty-five".