823457801 has 2 divisors, whose sum is σ = 823457802. Its totient is φ = 823457800.

The previous prime is 823457773. The next prime is 823457827. The reversal of 823457801 is 108754328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806844025 + 16613776 = 28405^2 + 4076^2 .

It is a cyclic number.

It is not a de Polignac number, because 823457801 - 2⁶ = 823457737 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (823457851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411728900 + 411728901.

It is an arithmetic number, because the mean of its divisors is an integer number (411728901).

Almost surely, 2^823457801 is an apocalyptic number.

It is an amenable number.

823457801 is a deficient number, since it is larger than the sum of its proper divisors (1).

823457801 is an equidigital number, since it uses as much as digits as its factorization.

823457801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 823457801 is about 28695.9544361222. The cubic root of 823457801 is about 937.3039546453.

The spelling of 823457801 in words is "eight hundred twenty-three million, four hundred fifty-seven thousand, eight hundred one".