13007965 has 8 divisors (see below), whose sum is σ = 15632568. Its totient is φ = 10391040.

The previous prime is 13007963. The next prime is 13007971. The reversal of 13007965 is 56970031.

It can be written as a sum of positive squares in 4 ways, for example, as 1249924 + 11758041 = 1118^2 + 3429^2 .

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

It is not a de Polignac number, because 13007965 - 2¹ = 13007963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007963) 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, 2929 + ... + 5881.

It is an arithmetic number, because the mean of its divisors is an integer number (1954071).

Almost surely, 2^13007965 is an apocalyptic number.

It is an amenable number.

13007965 is a deficient number, since it is larger than the sum of its proper divisors (2624603).

13007965 is an equidigital number, since it uses as much as digits as its factorization.

13007965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 13007965 is about 3606.6556530947. The cubic root of 13007965 is about 235.1814804571.

Adding to 13007965 its reverse (56970031), we get a palindrome (69977996).

The spelling of 13007965 in words is "thirteen million, seven thousand, nine hundred sixty-five".