824513 has 2 divisors, whose sum is σ = 824514. Its totient is φ = 824512.

The previous prime is 824501. The next prime is 824531. The reversal of 824513 is 315428.

Together with next prime (824531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 49 = 908^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 824513 - 2⁴ = 824497 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁹ + 5⁵ + 4⁹ + 1 + 3⁷ .

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (824563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412256 + 412257.

It is an arithmetic number, because the mean of its divisors is an integer number (412257).

2⁸²⁴⁵¹³ is an apocalyptic number.

It is an amenable number.

824513 is a deficient number, since it is larger than the sum of its proper divisors (1).

824513 is an equidigital number, since it uses as much as digits as its factorization.

824513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 23.

The square root of 824513 is about 908.0269819780. The cubic root of 824513 is about 93.7704145173.

The spelling of 824513 in words is "eight hundred twenty-four thousand, five hundred thirteen".