823538657 has 2 divisors, whose sum is σ = 823538658. Its totient is φ = 823538656.

The previous prime is 823538609. The next prime is 823538707. The reversal of 823538657 is 756835328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 813903841 + 9634816 = 28529^2 + 3104^2 .

It is a cyclic number.

It is not a de Polignac number, because 823538657 - 2⁶ = 823538593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (823538357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411769328 + 411769329.

It is an arithmetic number, because the mean of its divisors is an integer number (411769329).

Almost surely, 2^823538657 is an apocalyptic number.

It is an amenable number.

823538657 is a deficient number, since it is larger than the sum of its proper divisors (1).

823538657 is an equidigital number, since it uses as much as digits as its factorization.

823538657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1209600, while the sum is 47.

The square root of 823538657 is about 28697.3632412457. The cubic root of 823538657 is about 937.3346318572.

The spelling of 823538657 in words is "eight hundred twenty-three million, five hundred thirty-eight thousand, six hundred fifty-seven".