823765041 has 12 divisors (see below), whose sum is σ = 1298054160. Its totient is φ = 499251480.

The previous prime is 823764967. The next prime is 823765051. The reversal of 823765041 is 140567328.

823765041 is a `hidden beast` number, since 82 + 3 + 76 + 504 + 1 = 666.

It is not a de Polignac number, because 823765041 - 2²⁶ = 756656177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 823764987 and 823765005.

It is not an unprimeable number, because it can be changed into a prime (823765051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4160331 + ... + 4160528.

It is an arithmetic number, because the mean of its divisors is an integer number (108171180).

Almost surely, 2^823765041 is an apocalyptic number.

It is an amenable number.

823765041 is a deficient number, since it is larger than the sum of its proper divisors (474289119).

823765041 is a wasteful number, since it uses less digits than its factorization.

823765041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320876 (or 8320873 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 823765041 is about 28701.3073047205. The cubic root of 823765041 is about 937.4205125140.

The spelling of 823765041 in words is "eight hundred twenty-three million, seven hundred sixty-five thousand, forty-one".