824741 has 2 divisors, whose sum is σ = 824742. Its totient is φ = 824740.

The previous prime is 824723. The next prime is 824749. The reversal of 824741 is 147428.

824741 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., 801025 + 23716 = 895^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 824741 - 2¹⁰ = 823717 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 824741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (824749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412370 + 412371.

It is an arithmetic number, because the mean of its divisors is an integer number (412371).

2⁸²⁴⁷⁴¹ is an apocalyptic number.

It is an amenable number.

824741 is a deficient number, since it is larger than the sum of its proper divisors (1).

824741 is an equidigital number, since it uses as much as digits as its factorization.

824741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1792, while the sum is 26.

The square root of 824741 is about 908.1525202299. The cubic root of 824741 is about 93.7790570671.

The spelling of 824741 in words is "eight hundred twenty-four thousand, seven hundred forty-one".