13007985 has 16 divisors (see below), whose sum is σ = 20868864. Its totient is φ = 6918912.

The previous prime is 13007971. The next prime is 13007987. The reversal of 13007985 is 58970031.

It is not a de Polignac number, because 13007985 - 2¹² = 13003889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13007987) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6009 + ... + 7881.

It is an arithmetic number, because the mean of its divisors is an integer number (1304304).

Almost surely, 2^13007985 is an apocalyptic number.

13007985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13007985 is a deficient number, since it is larger than the sum of its proper divisors (7860879).

13007985 is a wasteful number, since it uses less digits than its factorization.

13007985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 13007985 is about 3606.6584257454. The cubic root of 13007985 is about 235.1816009891.

The spelling of 13007985 in words is "thirteen million, seven thousand, nine hundred eighty-five".