823948057 has 2 divisors, whose sum is σ = 823948058. Its totient is φ = 823948056.

The previous prime is 823948051. The next prime is 823948063. The reversal of 823948057 is 750849328.

It is a balanced prime because it is at equal distance from previous prime (823948051) and next prime (823948063).

It can be written as a sum of positive squares in only one way, i.e., 795014416 + 28933641 = 28196^2 + 5379^2 .

It is a cyclic number.

It is not a de Polignac number, because 823948057 - 2²³ = 815559449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823947998 and 823948016.

It is not a weakly prime, because it can be changed into another prime (823948051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411974028 + 411974029.

It is an arithmetic number, because the mean of its divisors is an integer number (411974029).

Almost surely, 2^823948057 is an apocalyptic number.

It is an amenable number.

823948057 is a deficient number, since it is larger than the sum of its proper divisors (1).

823948057 is an equidigital number, since it uses as much as digits as its factorization.

823948057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 823948057 is about 28704.4954144817. The cubic root of 823948057 is about 937.4899296578.

The spelling of 823948057 in words is "eight hundred twenty-three million, nine hundred forty-eight thousand, fifty-seven".