824921 has 2 divisors, whose sum is σ = 824922. Its totient is φ = 824920.

The previous prime is 824911. The next prime is 824933. The reversal of 824921 is 129428.

824921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 126025 = 836^2 + 355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-824921 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 824921.

It is not a weakly prime, because it can be changed into another prime (824911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412460 + 412461.

It is an arithmetic number, because the mean of its divisors is an integer number (412461).

2⁸²⁴⁹²¹ is an apocalyptic number.

It is an amenable number.

824921 is a deficient number, since it is larger than the sum of its proper divisors (1).

824921 is an equidigital number, since it uses as much as digits as its factorization.

824921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 26.

The square root of 824921 is about 908.2516171194. The cubic root of 824921 is about 93.7858790078.

The spelling of 824921 in words is "eight hundred twenty-four thousand, nine hundred twenty-one".