823220361 has 32 divisors (see below), whose sum is σ = 1266048000. Its totient is φ = 528038784.

The previous prime is 823220339. The next prime is 823220383. The reversal of 823220361 is 163022328.

823220361 is a `hidden beast` number, since 82 + 3 + 220 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (823220339) and next prime (823220383).

It is not a de Polignac number, because 823220361 - 2⁵ = 823220329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (823220261) 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 31 ways as a sum of consecutive naturals, for example, 243400 + ... + 246758.

It is an arithmetic number, because the mean of its divisors is an integer number (39564000).

Almost surely, 2^823220361 is an apocalyptic number.

It is an amenable number.

823220361 is a deficient number, since it is larger than the sum of its proper divisors (442827639).

823220361 is a wasteful number, since it uses less digits than its factorization.

823220361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 823220361 is about 28691.8169693033. The cubic root of 823220361 is about 937.2138569925.

Adding to 823220361 its reverse (163022328), we get a palindrome (986242689).

The spelling of 823220361 in words is "eight hundred twenty-three million, two hundred twenty thousand, three hundred sixty-one".