8424013 has 8 divisors (see below), whose sum is σ = 9135000. Its totient is φ = 7722048.

The previous prime is 8423999. The next prime is 8424019. The reversal of 8424013 is 3104248.

It can be written as a sum of positive squares in 4 ways, for example, as 927369 + 7496644 = 963^2 + 2738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8424013 - 2¹⁷ = 8292941 is a prime.

It is an Ulam number.

It is a Duffinian number.

8424013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8424019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 4111.

It is an arithmetic number, because the mean of its divisors is an integer number (1141875).

Almost surely, 2^8424013 is an apocalyptic number.

It is an amenable number.

8424013 is a deficient number, since it is larger than the sum of its proper divisors (710987).

8424013 is a wasteful number, since it uses less digits than its factorization.

8424013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8424013 is about 2902.4150289027. The cubic root of 8424013 is about 203.4727912478.

The spelling of 8424013 in words is "eight million, four hundred twenty-four thousand, thirteen".