824801 has 2 divisors, whose sum is σ = 824802. Its totient is φ = 824800.

The previous prime is 824779. The next prime is 824821. The reversal of 824801 is 108428.

824801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819025 + 5776 = 905^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 824801 - 2¹⁰ = 823777 is a prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824801.

It is not a weakly prime, because it can be changed into another prime (824821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412400 + 412401.

It is an arithmetic number, because the mean of its divisors is an integer number (412401).

2⁸²⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

824801 is a deficient number, since it is larger than the sum of its proper divisors (1).

824801 is an equidigital number, since it uses as much as digits as its factorization.

824801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 824801 is about 908.1855537279. The cubic root of 824801 is about 93.7813311576.

The spelling of 824801 in words is "eight hundred twenty-four thousand, eight hundred one".