823577057 has 2 divisors, whose sum is σ = 823577058. Its totient is φ = 823577056.

The previous prime is 823577039. The next prime is 823577063. The reversal of 823577057 is 750775328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740329681 + 83247376 = 27209^2 + 9124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823577057 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 823576999 and 823577017.

It is not a weakly prime, because it can be changed into another prime (823576057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411788528 + 411788529.

It is an arithmetic number, because the mean of its divisors is an integer number (411788529).

Almost surely, 2^823577057 is an apocalyptic number.

It is an amenable number.

823577057 is a deficient number, since it is larger than the sum of its proper divisors (1).

823577057 is an equidigital number, since it uses as much as digits as its factorization.

823577057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 411600, while the sum is 44.

The square root of 823577057 is about 28698.0322844616. The cubic root of 823577057 is about 937.3492003255.

The spelling of 823577057 in words is "eight hundred twenty-three million, five hundred seventy-seven thousand, fifty-seven".