13007205 has 12 divisors (see below), whose sum is σ = 22545900. Its totient is φ = 6937152.

The previous prime is 13007173. The next prime is 13007219. The reversal of 13007205 is 50270031.

It can be written as a sum of positive squares in 2 ways, for example, as 4901796 + 8105409 = 2214^2 + 2847^2 .

It is not a de Polignac number, because 13007205 - 2⁵ = 13007173 is a prime.

It is a Curzon number.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144480 + ... + 144569.

It is an arithmetic number, because the mean of its divisors is an integer number (1878825).

Almost surely, 2^13007205 is an apocalyptic number.

13007205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13007205 is a deficient number, since it is larger than the sum of its proper divisors (9538695).

13007205 is a wasteful number, since it uses less digits than its factorization.

13007205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289060 (or 289057 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13007205 is about 3606.5502907904. The cubic root of 13007205 is about 235.1769001505.

Adding to 13007205 its reverse (50270031), we get a palindrome (63277236).

The spelling of 13007205 in words is "thirteen million, seven thousand, two hundred five".