823931361 has 48 divisors (see below), whose sum is σ = 1360539648. Its totient is φ = 475912800.

The previous prime is 823931347. The next prime is 823931377. The reversal of 823931361 is 163139328.

It is a de Polignac number, because none of the positive numbers 2^k-823931361 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (823931321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203620 + ... + 207626.

It is an arithmetic number, because the mean of its divisors is an integer number (28344576).

Almost surely, 2^823931361 is an apocalyptic number.

It is an amenable number.

823931361 is a deficient number, since it is larger than the sum of its proper divisors (536608287).

823931361 is a wasteful number, since it uses less digits than its factorization.

823931361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4119 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 823931361 is about 28704.2045874816. The cubic root of 823931361 is about 937.4835973664.

The spelling of 823931361 in words is "eight hundred twenty-three million, nine hundred thirty-one thousand, three hundred sixty-one".