1024013 has 6 divisors (see below), whose sum is σ = 1050894. Its totient is φ = 997464.

The previous prime is 1023991. The next prime is 1024021. The reversal of 1024013 is 3104201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 946729 + 77284 = 973^2 + 278^2 .

It is not a de Polignac number, because 1024013 - 2⁶ = 1023949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023985 and 1024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7298 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (175149).

2^1024013 is an apocalyptic number.

It is an amenable number.

1024013 is a deficient number, since it is larger than the sum of its proper divisors (26881).

1024013 is an frugal number, since it uses more digits than its factorization.

1024013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1024013 is about 1011.9352746100. The cubic root of 1024013 is about 100.7941105256.

Adding to 1024013 its reverse (3104201), we get a palindrome (4128214).

The spelling of 1024013 in words is "one million, twenty-four thousand, thirteen".