824013 has 12 divisors (see below), whose sum is σ = 1234688. Its totient is φ = 549180.

The previous prime is 823997. The next prime is 824017. The reversal of 824013 is 310428.

It is a happy number.

824013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 824013 - 2⁴ = 823997 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1453 + ... + 1938.

2⁸²⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

824013 is a deficient number, since it is larger than the sum of its proper divisors (410675).

824013 is an equidigital number, since it uses as much as digits as its factorization.

824013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 824013 is about 907.7516180101. The cubic root of 824013 is about 93.7514559774.

It can be divided in two parts, 82 and 4013, that added together give a triangular number (4095 = T₉₀).

The spelling of 824013 in words is "eight hundred twenty-four thousand, thirteen".